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5010957 = 33726513
BaseRepresentation
bin10011000111011000001101
3100102120202000
4103013120031
52240322312
6255222513
760410130
oct23073015
910376660
105010957
112912896
121817a39
131065a83
14946217
1568eadc
hex4c760d

5010957 has 16 divisors (see below), whose sum is σ = 8484480. Its totient is φ = 2863296.

The previous prime is 5010953. The next prime is 5010977. The reversal of 5010957 is 7590105.

It is not a de Polignac number, because 5010957 - 22 = 5010953 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

5010957 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5010957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5010953) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13068 + ... + 13445.

It is an arithmetic number, because the mean of its divisors is an integer number (530280).

Almost surely, 25010957 is an apocalyptic number.

It is an amenable number.

5010957 is a deficient number, since it is larger than the sum of its proper divisors (3473523).

5010957 is a wasteful number, since it uses less digits than its factorization.

5010957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26529 (or 26523 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 5010957 is about 2238.5166963862. The cubic root of 5010957 is about 171.1224115804.

The spelling of 5010957 in words is "five million, ten thousand, nine hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 189 26513 79539 185591 238617 556773 715851 1670319 5010957