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38213172 = 22321576761
BaseRepresentation
bin1001000111000…
…1011000110100
32122220102121200
42101301120310
534240310142
63443012500
7642543444
oct221613064
978812550
1038213172
111a630138
121096a130
137bbc45a
14510a124
15354c64c
hex2471634

38213172 has 36 divisors (see below), whose sum is σ = 97224036. Its totient is φ = 12654720.

The previous prime is 38213171. The next prime is 38213177. The reversal of 38213172 is 27131283.

It can be written as a sum of positive squares in 2 ways, for example, as 21123216 + 17089956 = 4596^2 + 4134^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38213171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2272 + ... + 9032.

Almost surely, 238213172 is an apocalyptic number.

It is an amenable number.

38213172 is an abundant number, since it is smaller than the sum of its proper divisors (59010864).

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

38213172 is a wasteful number, since it uses less digits than its factorization.

38213172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6923 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 38213172 is about 6181.6803540785. The cubic root of 38213172 is about 336.8250345773.

The spelling of 38213172 in words is "thirty-eight million, two hundred thirteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 6761 13522 20283 27044 40566 60849 81132 121698 243396 1061477 2122954 3184431 4245908 6368862 9553293 12737724 19106586 38213172