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10808952 = 2337115849
BaseRepresentation
bin101001001110…
…111001111000
3202100011002120
4221032321320
510231341302
61023401240
7160605660
oct51167170
922304076
1010808952
116112a20
123753220
132315b3b
1416151a0
15e379bc
hexa4ee78

10808952 has 64 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 2807040.

The previous prime is 10808951. The next prime is 10808981. The reversal of 10808952 is 25980801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10808951) 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 15 ways as a sum of consecutive naturals, for example, 1077 + ... + 4772.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 210808952 is an apocalyptic number.

10808952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10808952 is an abundant number, since it is smaller than the sum of its proper divisors (22887048).

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

10808952 is a wasteful number, since it uses less digits than its factorization.

10808952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 10808952 is about 3287.6970663369. The cubic root of 10808952 is about 221.1029461074.

The spelling of 10808952 in words is "ten million, eight hundred eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 5849 11698 17547 23396 35094 40943 46792 64339 70188 81886 122829 128678 140376 163772 193017 245658 257356 327544 386034 450373 491316 514712 772068 900746 982632 1351119 1544136 1801492 2702238 3602984 5404476 10808952