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10490792 = 2313149677
BaseRepresentation
bin101000000001…
…001110101000
3201201222122212
4220001032220
510141201132
61012504252
7155112254
oct50011650
921658585
1010490792
115a15984
12361b088
132234090
141571264
15dc35b2
hexa013a8

10490792 has 32 divisors (see below), whose sum is σ = 21357000. Its totient is φ = 4802304.

The previous prime is 10490791. The next prime is 10490801. The reversal of 10490792 is 29709401.

It can be written as a sum of positive squares in 4 ways, for example, as 8491396 + 1999396 = 2914^2 + 1414^2 .

It is a super-2 number, since 2×104907922 = 220113433574528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10490791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15158 + ... + 15834.

Almost surely, 210490792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10490792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10678500).

10490792 is an abundant number, since it is smaller than the sum of its proper divisors (10866208).

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

10490792 is a wasteful number, since it uses less digits than its factorization.

10490792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 10490792 is about 3238.9492123218. The cubic root of 10490792 is about 218.9119277783.

The spelling of 10490792 in words is "ten million, four hundred ninety thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 104 149 298 596 677 1192 1354 1937 2708 3874 5416 7748 8801 15496 17602 35204 70408 100873 201746 403492 806984 1311349 2622698 5245396 10490792