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52438528 = 29236173
BaseRepresentation
bin1100100000001…
…0011000000000
310122200011010201
43020002120000
5101411013103
65111534544
71204502002
oct310023000
9118604121
1052438528
112766692a
121568a454
13ab3031c
146d70372
15490c51d
hex3202600

52438528 has 80 divisors (see below), whose sum is σ = 112644576. Its totient is φ = 24330240.

The previous prime is 52438513. The next prime is 52438559. The reversal of 52438528 is 82583425.

It is a super-3 number, since 3×524385283 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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, 718300 + ... + 718372.

Almost surely, 252438528 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 52438528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56322288).

52438528 is an abundant number, since it is smaller than the sum of its proper divisors (60206048).

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

52438528 is an equidigital number, since it uses as much as digits as its factorization.

52438528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its digits is 76800, while the sum is 37.

The square root of 52438528 is about 7241.4451596349. The cubic root of 52438528 is about 374.2974175334.

The spelling of 52438528 in words is "fifty-two million, four hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 61 64 73 92 122 128 146 184 244 256 292 368 488 512 584 736 976 1168 1403 1472 1679 1952 2336 2806 2944 3358 3904 4453 4672 5612 5888 6716 7808 8906 9344 11224 11776 13432 15616 17812 18688 22448 26864 31232 35624 37376 44896 53728 71248 89792 102419 107456 142496 179584 204838 214912 284992 359168 409676 429824 569984 718336 819352 859648 1139968 1638704 2279936 3277408 6554816 13109632 26219264 52438528