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252058590 = 23257400093
BaseRepresentation
bin11110000011000…
…01101111011110
3122120021220101100
433001201233132
51004011333330
641002253530
76150314460
oct1701415736
9576256340
10252058590
1111a30a393
12704b72a6
13402b36c4
1425694130
15171de060
hexf061bde

252058590 has 48 divisors (see below), whose sum is σ = 748975968. Its totient is φ = 57613248.

The previous prime is 252058577. The next prime is 252058607. The reversal of 252058590 is 95850252.

252058590 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199417 + ... + 200676.

It is an arithmetic number, because the mean of its divisors is an integer number (15603666).

Almost surely, 2252058590 is an apocalyptic number.

252058590 is an abundant number, since it is smaller than the sum of its proper divisors (496917378).

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

252058590 is a wasteful number, since it uses less digits than its factorization.

252058590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400113 (or 400110 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 252058590 is about 15876.3531706749. The cubic root of 252058590 is about 631.6849077592.

The spelling of 252058590 in words is "two hundred fifty-two million, fifty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 400093 800186 1200279 2000465 2400558 2800651 3600837 4000930 5601302 6001395 7201674 8401953 12002790 14003255 16803906 18004185 25205859 28006510 36008370 42009765 50411718 84019530 126029295 252058590