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10047464 = 237593041
BaseRepresentation
bin100110010100…
…111111101000
3200220110112022
4212110333220
510033004324
6555204012
7151254620
oct46247750
920813468
1010047464
115742899
123446608
13210a35b
141497880
15d3705e
hex994fe8

10047464 has 32 divisors (see below), whose sum is σ = 21902400. Its totient is φ = 4231680.

The previous prime is 10047463. The next prime is 10047467. The reversal of 10047464 is 46474001.

It is not an unprimeable number, because it can be changed into a prime (10047463) 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 7 ways as a sum of consecutive naturals, for example, 1784 + ... + 4824.

It is an arithmetic number, because the mean of its divisors is an integer number (684450).

Almost surely, 210047464 is an apocalyptic number.

10047464 is a gapful number since it is divisible by the number (14) 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 10047464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10951200).

10047464 is an abundant number, since it is smaller than the sum of its proper divisors (11854936).

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

10047464 is a wasteful number, since it uses less digits than its factorization.

10047464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 10047464 is about 3169.7734934850. The cubic root of 10047464 is about 215.7837914281.

The spelling of 10047464 in words is "ten million, forty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 1652 3041 3304 6082 12164 21287 24328 42574 85148 170296 179419 358838 717676 1255933 1435352 2511866 5023732 10047464