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252394020 = 223253737897
BaseRepresentation
bin11110000101100…
…11101000100100
3122120220221111200
433002303220210
51004103102040
641013402500
76153212424
oct1702635044
9576827450
10252394020
1111a5193aa
1270639430
13403a0298
1425740484
1517258630
hexf0b3a24

252394020 has 72 divisors (see below), whose sum is σ = 786307704. Its totient is φ = 65484288.

The previous prime is 252393997. The next prime is 252394063. The reversal of 252394020 is 20493252.

252394020 is a `hidden beast` number, since 25 + 239 + 402 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10342656 + 242051364 = 3216^2 + 15558^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12289 + ... + 25608.

Almost surely, 2252394020 is an apocalyptic number.

252394020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252394020 is an abundant number, since it is smaller than the sum of its proper divisors (533913684).

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

252394020 is a wasteful number, since it uses less digits than its factorization.

252394020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37949 (or 37944 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 252394020 is about 15886.9134824861. The cubic root of 252394020 is about 631.9649909839.

The spelling of 252394020 in words is "two hundred fifty-two million, three hundred ninety-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 37897 75794 113691 151588 189485 227382 341073 378970 454764 568455 682146 757940 1136910 1364292 1402189 1705365 2273820 2804378 3410730 4206567 5608756 6821460 7010945 8413134 12619701 14021890 16826268 21032835 25239402 28043780 42065670 50478804 63098505 84131340 126197010 252394020