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3822383952 = 243361731987
BaseRepresentation
bin1110001111010100…
…1111001101010000
3100212101111020001000
43203311033031100
530312012241302
61431142542000
7163502504352
oct34365171520
910771436030
103822383952
1116916aa702
128a8137900
1348bba396a
1428391b0d2
1517588d31c
hexe3d4f350

3822383952 has 160 divisors (see below), whose sum is σ = 11309970560. Its totient is φ = 1235450880.

The previous prime is 3822383923. The next prime is 3822383959. The reversal of 3822383952 is 2593832283.

3822383952 is a `hidden beast` number, since 38 + 223 + 8 + 395 + 2 = 666.

It is a super-2 number, since 2×38223839522 = 29221238153014276608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3822383898 and 3822383907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3822383959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1922703 + ... + 1924689.

It is an arithmetic number, because the mean of its divisors is an integer number (70687316).

Almost surely, 23822383952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3822383952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654985280).

3822383952 is an abundant number, since it is smaller than the sum of its proper divisors (7487586608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3822383952 is a wasteful number, since it uses less digits than its factorization.

3822383952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2126 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 3822383952 is about 61825.4312722524. The cubic root of 3822383952 is about 1563.5487847879.

The spelling of 3822383952 in words is "three billion, eight hundred twenty-two million, three hundred eighty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 73 108 122 144 146 183 216 219 244 292 366 432 438 488 549 584 657 732 876 976 1098 1168 1314 1464 1647 1752 1971 1987 2196 2628 2928 3294 3504 3942 3974 4392 4453 5256 5961 6588 7884 7948 8784 8906 10512 11922 13176 13359 15768 15896 17812 17883 23844 26352 26718 31536 31792 35624 35766 40077 47688 53436 53649 71248 71532 80154 95376 106872 107298 120231 121207 143064 145051 160308 213744 214596 240462 242414 286128 290102 320616 363621 429192 435153 480924 484828 580204 641232 727242 858384 870306 961848 969656 1090863 1160408 1305459 1454484 1740612 1923696 1939312 2181726 2320816 2610918 2908968 3272589 3481224 3916377 4363452 5221836 5817936 6545178 6962448 7832754 8726904 8848111 10443672 13090356 15665508 17453808 17696222 20887344 26180712 26544333 31331016 35392444 52361424 53088666 62662032 70784888 79632999 106177332 141569776 159265998 212354664 238898997 318531996 424709328 477797994 637063992 955595988 1274127984 1911191976 3822383952