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38974464 = 210324229
BaseRepresentation
bin1001010010101…
…1010000000000
32201100002220200
42110223100000
534434140324
63511205200
7652164114
oct224532000
981302820
1038974464
1120000101
1211076800
1380c7b19
145267744
15364cec9
hex252b400

38974464 has 66 divisors (see below), whose sum is σ = 112564530. Its totient is φ = 12988416.

The previous prime is 38974427. The next prime is 38974487. The reversal of 38974464 is 46447983.

It can be written as a sum of positive squares in only one way, i.e., 38937600 + 36864 = 6240^2 + 192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7102 + ... + 11330.

Almost surely, 238974464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56282265).

38974464 is an abundant number, since it is smaller than the sum of its proper divisors (73590066).

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

38974464 is a wasteful number, since it uses less digits than its factorization.

38974464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4234 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 38974464 is about 6242.9531473494. The cubic root of 38974464 is about 339.0471127776.

The spelling of 38974464 in words is "thirty-eight million, nine hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4229 4608 8458 9216 12687 16916 25374 33832 38061 50748 67664 76122 101496 135328 152244 202992 270656 304488 405984 541312 608976 811968 1082624 1217952 1623936 2165248 2435904 3247872 4330496 4871808 6495744 9743616 12991488 19487232 38974464