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10649952 = 253236979
BaseRepresentation
bin101000101000…
…000101100000
3202001001222200
4220220011200
510211244302
61020133200
7156344265
oct50500540
922031880
1010649952
116014515
123697200
13228b661
1415b326c
15e0581c
hexa28160

10649952 has 36 divisors (see below), whose sum is σ = 30286620. Its totient is φ = 3549888.

The previous prime is 10649927. The next prime is 10649953. The reversal of 10649952 is 25994601.

10649952 is a `hidden beast` number, since 1 + 0 + 649 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106499522 = 226842955204608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10649953) 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 5 ways as a sum of consecutive naturals, for example, 18202 + ... + 18777.

It is an arithmetic number, because the mean of its divisors is an integer number (841295).

Almost surely, 210649952 is an apocalyptic number.

10649952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10649952 is an abundant number, since it is smaller than the sum of its proper divisors (19636668).

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

10649952 is a wasteful number, since it uses less digits than its factorization.

10649952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36995 (or 36984 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 10649952 is about 3263.4264201909. The cubic root of 10649952 is about 220.0134427048.

The spelling of 10649952 in words is "ten million, six hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36979 73958 110937 147916 221874 295832 332811 443748 591664 665622 887496 1183328 1331244 1774992 2662488 3549984 5324976 10649952