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38460000032 = 2519391916141
BaseRepresentation
bin100011110100011001…
…010000011100100000
310200021100021102200122
4203310121100130200
51112231230000112
625400203135412
72531034414656
oct436431203440
9120240242618
1038460000032
11153467382a3
127554214568
13381bcc678c
141c0bc54dd6
1510016da872
hex8f4650720

38460000032 has 48 divisors (see below), whose sum is σ = 79728566400. Its totient is φ = 18212117760.

The previous prime is 38460000023. The next prime is 38460000041. The reversal of 38460000032 is 23000006483.

It is an interprime number because it is at equal distance from previous prime (38460000023) and next prime (38460000041).

It is a super-2 number, since 2×384600000322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38459999956 and 38460000010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2374682 + ... + 2390822.

It is an arithmetic number, because the mean of its divisors is an integer number (1661011800).

Almost surely, 238460000032 is an apocalyptic number.

38460000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38460000032 is an abundant number, since it is smaller than the sum of its proper divisors (41268566368).

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

38460000032 is a wasteful number, since it uses less digits than its factorization.

38460000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20089 (or 20081 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 38460000032 in words is "thirty-eight billion, four hundred sixty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 3919 7838 15676 16141 31352 32282 62704 64564 74461 125408 129128 148922 258256 297844 306679 516512 595688 613358 1191376 1226716 2382752 2453432 4906864 9813728 63256579 126513158 253026316 506052632 1012105264 1201875001 2024210528 2403750002 4807500004 9615000008 19230000016 38460000032