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38072475 = 32527231051
BaseRepresentation
bin1001000100111…
…1000010011011
32122122021121200
42101033002123
534221304400
63440005243
7641416320
oct221170233
978567550
1038072475
111a544461
1210900823
137b703bc
1450b0b47
153520b00
hex244f09b

38072475 has 72 divisors (see below), whose sum is σ = 81399552. Its totient is φ = 16632000.

The previous prime is 38072473. The next prime is 38072513. The reversal of 38072475 is 57427083.

It is not a de Polignac number, because 38072475 - 21 = 38072473 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38072473) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35700 + ... + 36750.

Almost surely, 238072475 is an apocalyptic number.

38072475 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38072475 is an abundant number, since it is smaller than the sum of its proper divisors (43327077).

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

38072475 is a wasteful number, since it uses less digits than its factorization.

38072475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 38072475 is about 6170.2897014646. The cubic root of 38072475 is about 336.4111410538.

The spelling of 38072475 in words is "thirty-eight million, seventy-two thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 63 69 75 105 115 161 175 207 225 315 345 483 525 575 805 1035 1051 1449 1575 1725 2415 3153 4025 5175 5255 7245 7357 9459 12075 15765 22071 24173 26275 36225 36785 47295 66213 72519 78825 110355 120865 169211 183925 217557 236475 331065 362595 507633 551775 604325 846055 1087785 1522899 1655325 1812975 2538165 4230275 5438925 7614495 12690825 38072475