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4092495960 = 233579750227
BaseRepresentation
bin1111001111101110…
…1000100001011000
3101120012202100001110
43303323220201120
531340134332320
61514032220320
7203262433050
oct36373504130
911505670043
104092495960
11181011a873
1296269a6a0
13502b38757
142ab750560
1518e4465e0
hexf3ee8858

4092495960 has 128 divisors (see below), whose sum is σ = 14176350720. Its totient is φ = 925765632.

The previous prime is 4092495949. The next prime is 4092495973. The reversal of 4092495960 is 695942904.

It is a congruent number.

It is an unprimeable number.

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, 56367 + ... + 106593.

It is an arithmetic number, because the mean of its divisors is an integer number (110752740).

Almost surely, 24092495960 is an apocalyptic number.

4092495960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4092495960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088175360).

4092495960 is an abundant number, since it is smaller than the sum of its proper divisors (10083854760).

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

4092495960 is a wasteful number, since it uses less digits than its factorization.

4092495960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50345 (or 50341 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 4092495960 is about 63972.6188302464. The cubic root of 4092495960 is about 1599.5436146243.

The spelling of 4092495960 in words is "four billion, ninety-two million, four hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 97 105 120 140 168 194 210 280 291 388 420 485 582 679 776 840 970 1164 1358 1455 1940 2037 2328 2716 2910 3395 3880 4074 5432 5820 6790 8148 10185 11640 13580 16296 20370 27160 40740 50227 81480 100454 150681 200908 251135 301362 351589 401816 502270 602724 703178 753405 1004540 1054767 1205448 1406356 1506810 1757945 2009080 2109534 2812712 3013620 3515890 4219068 4872019 5273835 6027240 7031780 8438136 9744038 10547670 14063560 14616057 19488076 21095340 24360095 29232114 34104133 38976152 42190680 48720190 58464228 68208266 73080285 97440380 102312399 116928456 136416532 146160570 170520665 194880760 204624798 272833064 292321140 341041330 409249596 511561995 584642280 682082660 818499192 1023123990 1364165320 2046247980 4092495960