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525052400 = 24522116221
BaseRepresentation
bin11111010010111…
…010100111110000
31100120222102111012
4133102322213300
52033403134100
6124033410052
716003605005
oct3722724760
91316872435
10525052400
1124a418704
12127a09928
1384a170c2
144da378ac
1531166135
hex1f4ba9f0

525052400 has 60 divisors (see below), whose sum is σ = 1267620504. Its totient is φ = 208992000.

The previous prime is 525052393. The next prime is 525052421. The reversal of 525052400 is 4250525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81290 + ... + 87510.

Almost surely, 2525052400 is an apocalyptic number.

525052400 is a gapful number since it is divisible by the number (50) 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 525052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633810252).

525052400 is an abundant number, since it is smaller than the sum of its proper divisors (742568104).

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

525052400 is a wasteful number, since it uses less digits than its factorization.

525052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6450 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 525052400 is about 22914.0219079934. The cubic root of 525052400 is about 806.7411613769.

The spelling of 525052400 in words is "five hundred twenty-five million, fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 211 400 422 844 1055 1688 2110 3376 4220 5275 6221 8440 10550 12442 16880 21100 24884 31105 42200 49768 62210 84400 99536 124420 155525 248840 311050 497680 622100 1244200 1312631 2488400 2625262 5250524 6563155 10501048 13126310 21002096 26252620 32815775 52505240 65631550 105010480 131263100 262526200 525052400