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38035968 = 29324763
BaseRepresentation
bin1001000100011…
…0001000000000
32122120102112120
42101012020000
534214122333
63435124240
7641205015
oct221061000
978512476
1038035968
111a519a93
12108a3680
137b598b9
1450a170c
153514db3
hex2446200

38035968 has 40 divisors (see below), whose sum is σ = 101334288. Its totient is φ = 12678144.

The previous prime is 38035957. The next prime is 38035969. The reversal of 38035968 is 86953083.

It is not an unprimeable number, because it can be changed into a prime (38035969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10846 + ... + 13917.

Almost surely, 238035968 is an apocalyptic number.

It is an amenable number.

38035968 is an abundant number, since it is smaller than the sum of its proper divisors (63298320).

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

38035968 is an equidigital number, since it uses as much as digits as its factorization.

38035968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24784 (or 24768 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 38035968 is about 6167.3307029865. The cubic root of 38035968 is about 336.3035805036.

The spelling of 38035968 in words is "thirty-eight million, thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 24763 49526 74289 99052 148578 198104 297156 396208 594312 792416 1188624 1584832 2377248 3169664 4754496 6339328 9508992 12678656 19017984 38035968