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38070528 = 283192609
BaseRepresentation
bin1001000100111…
…0100100000000
32122122011221120
42101032210000
534221224103
63435552240
7641410536
oct221164400
978564846
1038070528
111a542a51
12108bb680
137b6c552
1450b0156
153520253
hex244e900

38070528 has 72 divisors (see below), whose sum is σ = 106696800. Its totient is φ = 12017664.

The previous prime is 38070481. The next prime is 38070541. The reversal of 38070528 is 82507083.

38070528 is nontrivially palindromic in base 15.

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, 13288 + ... + 15896.

It is an arithmetic number, because the mean of its divisors is an integer number (1481900).

Almost surely, 238070528 is an apocalyptic number.

38070528 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38070528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53348400).

38070528 is an abundant number, since it is smaller than the sum of its proper divisors (68626272).

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

38070528 is a wasteful number, since it uses less digits than its factorization.

38070528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 38070528 is about 6170.1319272768. The cubic root of 38070528 is about 336.4054063452.

The spelling of 38070528 in words is "thirty-eight million, seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 2609 3648 4864 5218 7296 7827 10436 14592 15654 20872 31308 41744 49571 62616 83488 99142 125232 148713 166976 198284 250464 297426 333952 396568 500928 594852 667904 793136 1001856 1189704 1586272 2003712 2379408 3172544 4758816 6345088 9517632 12690176 19035264 38070528