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252974640 = 24351054061
BaseRepresentation
bin11110001010000…
…01011000110000
3122122000102222010
433011001120300
51004230142030
641034042520
76161151252
oct1705013060
9578012863
10252974640
1111a885656
1270879440
1340544649
1425851cd2
15173206b0
hexf141630

252974640 has 40 divisors (see below), whose sum is σ = 784222128. Its totient is φ = 67459840.

The previous prime is 252974629. The next prime is 252974693. The reversal of 252974640 is 46479252.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 526791 + ... + 527270.

Almost surely, 2252974640 is an apocalyptic number.

252974640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252974640 is an abundant number, since it is smaller than the sum of its proper divisors (531247488).

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

252974640 is a wasteful number, since it uses less digits than its factorization.

252974640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054077 (or 1054071 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 252974640 is about 15905.1765158391. The cubic root of 252974640 is about 632.4492212928.

The spelling of 252974640 in words is "two hundred fifty-two million, nine hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1054061 2108122 3162183 4216244 5270305 6324366 8432488 10540610 12648732 15810915 16864976 21081220 25297464 31621830 42162440 50594928 63243660 84324880 126487320 252974640