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10238952 = 2332331831
BaseRepresentation
bin100111000011…
…101111101000
3201021012012110
4213003233220
510110121302
61003242320
7153013113
oct47035750
921235173
1010238952
115863749
1235193a0
132176569
14150757a
15d73b6c
hex9c3be8

10238952 has 32 divisors (see below), whose sum is σ = 25721280. Its totient is φ = 3396480.

The previous prime is 10238951. The next prime is 10238957. The reversal of 10238952 is 25983201.

It is a happy number.

It is a super-3 number, since 3×102389523 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10238951) 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, 4677 + ... + 6507.

It is an arithmetic number, because the mean of its divisors is an integer number (803790).

Almost surely, 210238952 is an apocalyptic number.

10238952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10238952 is an abundant number, since it is smaller than the sum of its proper divisors (15482328).

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

10238952 is a wasteful number, since it uses less digits than its factorization.

10238952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 10238952 is about 3199.8362458101. The cubic root of 10238952 is about 217.1460009768.

The spelling of 10238952 in words is "ten million, two hundred thirty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 233 466 699 932 1398 1831 1864 2796 3662 5493 5592 7324 10986 14648 21972 43944 426623 853246 1279869 1706492 2559738 3412984 5119476 10238952