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38403457024 = 21415312
BaseRepresentation
bin100011110001000001…
…100100000000000000
310200010101212202021011
4203301001210000000
51112122241111044
625350423210304
72526446666362
oct436101440000
9120111782234
1038403457024
1115317828739
1275392a6994
13381038a18a
141c04536d32
15eeb76c134
hex8f1064000

38403457024 has 45 divisors (see below), whose sum is σ = 76854769131. Its totient is φ = 19189186560.

The previous prime is 38403456989. The next prime is 38403457033. The reversal of 38403457024 is 42075430483.

It is a happy number.

The square root of 38403457024 is 195968.

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

It is a super-2 number, since 2×384034570242 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25083139 + ... + 25084669.

Almost surely, 238403457024 is an apocalyptic number.

38403457024 is the 195968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38403457024

38403457024 is an abundant number, since it is smaller than the sum of its proper divisors (38451312107).

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

38403457024 is an frugal number, since it uses more digits than its factorization.

38403457024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 38403457024 in words is "thirty-eight billion, four hundred three million, four hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1531 2048 3062 4096 6124 8192 12248 16384 24496 48992 97984 195968 391936 783872 1567744 2343961 3135488 4687922 6270976 9375844 12541952 18751688 25083904 37503376 75006752 150013504 300027008 600054016 1200108032 2400216064 4800432128 9600864256 19201728512 38403457024