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10625472 = 2633111343
BaseRepresentation
bin101000100010…
…000111000000
3201222211102000
4220202013000
510210003342
61015424000
7156213024
oct50420700
921884360
1010625472
115aa8090
123685000
132280480
1415a8384
15ded44c
hexa221c0

10625472 has 224 divisors, whose sum is σ = 37551360. Its totient is φ = 2903040.

The previous prime is 10625441. The next prime is 10625473. The reversal of 10625472 is 27452601.

It is a super-2 number, since 2×106254722 = 225801310445568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10625473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247083 + ... + 247125.

It is an arithmetic number, because the mean of its divisors is an integer number (167640).

Almost surely, 210625472 is an apocalyptic number.

10625472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10625472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775680).

10625472 is an abundant number, since it is smaller than the sum of its proper divisors (26925888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10625472 is a wasteful number, since it uses less digits than its factorization.

10625472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10625472 is about 3259.6736032922. The cubic root of 10625472 is about 219.8447389379.

The spelling of 10625472 in words is "ten million, six hundred twenty-five thousand, four hundred seventy-two".