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3968296520 = 235412419693
BaseRepresentation
bin1110110010000111…
…0110011001001000
3101020120001100110012
43230201312121020
531111340442040
61453434211052
7200223651416
oct35441663110
911216040405
103968296520
111756aaaa01
12928b83a88
134b31a1266
142990602b6
151835b1865
hexec876648

3968296520 has 32 divisors (see below), whose sum is σ = 9146443320. Its totient is φ = 1548602880.

The previous prime is 3968296487. The next prime is 3968296523. The reversal of 3968296520 is 256928693.

It can be written as a sum of positive squares in 4 ways, for example, as 1623606436 + 2344690084 = 40294^2 + 48422^2 .

It is a super-2 number, since 2×39682965202 = 31494754541288220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3968296523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1208207 + ... + 1211486.

Almost surely, 23968296520 is an apocalyptic number.

It is an amenable number.

3968296520 is an abundant number, since it is smaller than the sum of its proper divisors (5178146800).

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

3968296520 is a wasteful number, since it uses less digits than its factorization.

3968296520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419745 (or 2419741 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The square root of 3968296520 is about 62994.4165779794. The cubic root of 3968296520 is about 1583.1960781728.

The spelling of 3968296520 in words is "three billion, nine hundred sixty-eight million, two hundred ninety-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 2419693 4839386 9678772 12098465 19357544 24196930 48393860 96787720 99207413 198414826 396829652 496037065 793659304 992074130 1984148260 3968296520