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252460431 = 32163172093
BaseRepresentation
bin11110000110000…
…11110110001111
3122121001022121100
433003003312033
51004112213211
641015034143
76153610146
oct1703036617
9577038540
10252460431
1111a564293
127066b953
13403c4592
142575a75d
151726d156
hexf0c3d8f

252460431 has 12 divisors (see below), whose sum is σ = 366904408. Its totient is φ = 167273424.

The previous prime is 252460427. The next prime is 252460433. The reversal of 252460431 is 134064252.

252460431 is a `hidden beast` number, since 2 + 5 + 24 + 604 + 31 = 666.

It is not a de Polignac number, because 252460431 - 22 = 252460427 is a prime.

It is a super-2 number, since 2×2524604312 = 127472538441411522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252460395 and 252460404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252460433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84580 + ... + 87513.

Almost surely, 2252460431 is an apocalyptic number.

252460431 is a deficient number, since it is larger than the sum of its proper divisors (114443977).

252460431 is a wasteful number, since it uses less digits than its factorization.

252460431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172262 (or 172259 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 252460431 is about 15889.0034615139. The cubic root of 252460431 is about 632.0204145718.

The spelling of 252460431 in words is "two hundred fifty-two million, four hundred sixty thousand, four hundred thirty-one".

Divisors: 1 3 9 163 489 1467 172093 516279 1548837 28051159 84153477 252460431