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3860882496 = 26348632
BaseRepresentation
bin1110011000100000…
…0110010001000000
3100222001221011010000
43212020012101000
530401341214441
61435040040000
7164450650122
oct34610062100
910861834100
103860882496
111701405189
128b9003000
13496b62c73
14288a9d212
15178e452b6
hexe6206440

3860882496 has 105 divisors (see below), whose sum is σ = 11458142311. Its totient is φ = 1285469568.

The previous prime is 3860882489. The next prime is 3860882497. The reversal of 3860882496 is 6942880683.

The square root of 3860882496 is 62136.

It is a perfect power (a square), and thus also a powerful number.

3860882496 is a `hidden beast` number, since 3 + 8 + 608 + 8 + 24 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3860882497) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4473361 + ... + 4474223.

Almost surely, 23860882496 is an apocalyptic number.

3860882496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3860882496 is the 62136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3860882496

3860882496 is an abundant number, since it is smaller than the sum of its proper divisors (7597259815).

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

3860882496 is an frugal number, since it uses more digits than its factorization.

3860882496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The cubic root of 3860882496 is about 1568.7805446749.

It can be divided in two parts, 38608 and 82496, that added together give a square (121104 = 3482).

The spelling of 3860882496 in words is "three billion, eight hundred sixty million, eight hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 863 864 1296 1726 1728 2589 2592 3452 5178 5184 6904 7767 10356 13808 15534 20712 23301 27616 31068 41424 46602 55232 62136 69903 82848 93204 124272 139806 165696 186408 248544 279612 372816 497088 559224 744769 745632 1118448 1489538 1491264 2234307 2236896 2979076 4468614 4473792 5958152 6702921 8937228 11916304 13405842 17874456 20108763 23832608 26811684 35748912 40217526 47665216 53623368 60326289 71497824 80435052 107246736 120652578 142995648 160870104 214493472 241305156 321740208 428986944 482610312 643480416 965220624 1286960832 1930441248 3860882496