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3938315536 = 242925412
BaseRepresentation
bin1110101010111101…
…1110110100010000
3101011110122011021101
43222233132310100
531031202044121
61450443434144
7166411062331
oct35257366420
911143564241
103938315536
111741092831
1291ab25954
134a9c04b2c
14295098288
15180b3d491
hexeabded10

3938315536 has 45 divisors (see below), whose sum is σ = 7917314223. Its totient is φ = 1897741440.

The previous prime is 3938315477. The next prime is 3938315539. The reversal of 3938315536 is 6355138393.

The square root of 3938315536 is 62756.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24561936 + 3913753600 = 4956^2 + 62560^2 .

It is a super-2 number, since 2×39383155362 = 31020658522197934592, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3938315539) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7279426 + ... + 7279966.

Almost surely, 23938315536 is an apocalyptic number.

3938315536 is the 62756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3938315536

3938315536 is an abundant number, since it is smaller than the sum of its proper divisors (3978998687).

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

3938315536 is an frugal number, since it uses more digits than its factorization.

3938315536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 572 counting only the distinct ones).

The product of its digits is 874800, while the sum is 46.

The cubic root of 3938315536 is about 1579.1989123885.

The spelling of 3938315536 in words is "three billion, nine hundred thirty-eight million, three hundred fifteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 541 841 1082 1682 2164 3364 4328 6728 8656 13456 15689 31378 62756 125512 251024 292681 454981 585362 909962 1170724 1819924 2341448 3639848 4682896 7279696 8487749 16975498 33950996 67901992 135803984 246144721 492289442 984578884 1969157768 3938315536