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10624445 = 5131491097
BaseRepresentation
bin101000100001…
…110110111101
3201222202222222
4220201312331
510204440240
61015415125
7156210026
oct50416675
921882888
1010624445
115aa7337
1236844a5
13227cb70
1415a7c4d
15deceb5
hexa21dbd

10624445 has 16 divisors (see below), whose sum is σ = 13834800. Its totient is φ = 7785984.

The previous prime is 10624441. The next prime is 10624447. The reversal of 10624445 is 54442601.

It can be written as a sum of positive squares in 8 ways, for example, as 3345241 + 7279204 = 1829^2 + 2698^2 .

It is a cyclic number.

It is not a de Polignac number, because 10624445 - 22 = 10624441 is a prime.

It is a super-2 number, since 2×106244452 = 225757663116050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10624441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9137 + ... + 10233.

It is an arithmetic number, because the mean of its divisors is an integer number (864675).

Almost surely, 210624445 is an apocalyptic number.

It is an amenable number.

10624445 is a deficient number, since it is larger than the sum of its proper divisors (3210355).

10624445 is a wasteful number, since it uses less digits than its factorization.

10624445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264.

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 10624445 is about 3259.5160683758. The cubic root of 10624445 is about 219.8376557131.

The spelling of 10624445 in words is "ten million, six hundred twenty-four thousand, four hundred forty-five".

Divisors: 1 5 13 65 149 745 1097 1937 5485 9685 14261 71305 163453 817265 2124889 10624445