Search a number
-
+
3985532264 = 2371941103887
BaseRepresentation
bin1110110110001110…
…0110010101101000
3101021202111000110002
43231203212111220
531130244013024
61455251442132
7200523315410
oct35543462550
911252430402
103985532264
11176580241a
129328b6348
134b692741c
1429b469640
15184d686ae
hexed8e6568

3985532264 has 128 divisors (see below), whose sum is σ = 9309081600. Its totient is φ = 1561628160.

The previous prime is 3985532227. The next prime is 3985532279. The reversal of 3985532264 is 4622355893.

Together with 5323549335 it forms a betrothed pair.

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, 4492829 + ... + 4493715.

It is an arithmetic number, because the mean of its divisors is an integer number (72727200).

Almost surely, 23985532264 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 3985532264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654540800).

3985532264 is an abundant number, since it is smaller than the sum of its proper divisors (5323549336).

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

3985532264 is a wasteful number, since it uses less digits than its factorization.

3985532264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1059 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 47.

The square root of 3985532264 is about 63131.0720960764. The cubic root of 3985532264 is about 1585.4848982954.

The spelling of 3985532264 in words is "three billion, nine hundred eighty-five million, five hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 41 56 76 82 103 133 152 164 206 266 287 328 412 532 574 721 779 824 887 1064 1148 1442 1558 1774 1957 2296 2884 3116 3548 3914 4223 5453 5768 6209 6232 7096 7828 8446 10906 12418 13699 15656 16853 16892 21812 24836 27398 29561 33706 33784 36367 43624 49672 54796 59122 67412 72734 80237 91361 109592 117971 118244 134824 145468 160474 182722 235942 236488 254569 290936 320948 365444 471884 509138 561659 639527 641896 690973 730888 943768 1018276 1123318 1279054 1381946 1735859 2036552 2246636 2558108 2763892 3471718 3745801 4493272 4836811 5116216 5527784 6943436 7491602 9673622 12151013 13886872 14983204 19347244 24302026 26220607 29966408 38694488 48604052 52441214 71170219 97208104 104882428 142340438 209764856 284680876 498191533 569361752 996383066 1992766132 3985532264