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5267457 = 331343349
BaseRepresentation
bin10100000110000000000001
3100220121121000
4110012000001
52322024312
6304522213
762526006
oct24060001
910817530
105267457
112a78578
121920369
131125750
149b18ad
156e0adc
hex506001

5267457 has 32 divisors (see below), whose sum is σ = 8624000. Its totient is φ = 3157056.

The previous prime is 5267447. The next prime is 5267459. The reversal of 5267457 is 7547625.

It is not a de Polignac number, because 5267457 - 24 = 5267441 is a prime.

It is a super-2 number, since 2×52674572 = 55492206493698, which contains 22 as substring.

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 Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5267459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14919 + ... + 15267.

It is an arithmetic number, because the mean of its divisors is an integer number (269500).

It is a Proth number, since it is equal to 643 ⋅ 213 + 1 and 643 < 213.

Almost surely, 25267457 is an apocalyptic number.

It is an amenable number.

5267457 is a deficient number, since it is larger than the sum of its proper divisors (3356543).

5267457 is a wasteful number, since it uses less digits than its factorization.

5267457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 5267457 is about 2295.0941157173. The cubic root of 5267457 is about 173.9937572077.

The spelling of 5267457 in words is "five million, two hundred sixty-seven thousand, four hundred fifty-seven".

Divisors: 1 3 9 13 27 39 43 117 129 349 351 387 559 1047 1161 1677 3141 4537 5031 9423 13611 15007 15093 40833 45021 122499 135063 195091 405189 585273 1755819 5267457