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59428100 = 2252594281
BaseRepresentation
bin1110001010110…
…0110100000100
311010211021000202
43202230310010
5110203144400
65521430032
71321062524
oct342546404
9133737022
1059428100
1130600236
1217a9b318
13c409874
147c6d684
15533d4d5
hex38acd04

59428100 has 18 divisors (see below), whose sum is σ = 128959194. Its totient is φ = 23771200.

The previous prime is 59428099. The next prime is 59428133. The reversal of 59428100 is 182495.

It can be written as a sum of positive squares in 3 ways, for example, as 568516 + 58859584 = 754^2 + 7672^2 .

It is a super-2 number, since 2×594281002 = 7063398139220000, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 297041 + ... + 297240.

Almost surely, 259428100 is an apocalyptic number.

59428100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

59428100 is an abundant number, since it is smaller than the sum of its proper divisors (69531094).

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

59428100 is a wasteful number, since it uses less digits than its factorization.

59428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594295 (or 594288 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 59428100 is about 7708.9623166805. The cubic root of 59428100 is about 390.2389506517.

The spelling of 59428100 in words is "fifty-nine million, four hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 594281 1188562 2377124 2971405 5942810 11885620 14857025 29714050 59428100