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249561431 = 7236125411
BaseRepresentation
bin11101110000000…
…00000101010111
3122101121000220222
432320000011113
51002341431211
640432544555
76120144230
oct1670000527
9571530828
10249561431
11118964219
126b6b215b
133c91abb2
1425204087
1516d991db
hexee00157

249561431 has 16 divisors (see below), whose sum is σ = 302504448. Its totient is φ = 201247200.

The previous prime is 249561427. The next prime is 249561449. The reversal of 249561431 is 134165942.

It is not a de Polignac number, because 249561431 - 22 = 249561427 is a prime.

It is a super-2 number, since 2×2495614312 = 124561815685535522, 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 = 249561391 and 249561400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249561401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2885 + ... + 22526.

It is an arithmetic number, because the mean of its divisors is an integer number (18906528).

Almost surely, 2249561431 is an apocalyptic number.

249561431 is a deficient number, since it is larger than the sum of its proper divisors (52943017).

249561431 is a wasteful number, since it uses less digits than its factorization.

249561431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25502.

The product of its digits is 25920, while the sum is 35.

The square root of 249561431 is about 15797.5134435771. The cubic root of 249561431 is about 629.5919344502.

The spelling of 249561431 in words is "two hundred forty-nine million, five hundred sixty-one thousand, four hundred thirty-one".

Divisors: 1 7 23 61 161 427 1403 9821 25411 177877 584453 1550071 4091171 10850497 35651633 249561431