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10488864 = 253176427
BaseRepresentation
bin101000000000…
…110000100000
3201201220000110
4220000300200
510141120424
61012451320
7155103531
oct50006040
921656013
1010488864
115a14491
123619b40
132233239
141570688
15dc2c29
hexa00c20

10488864 has 48 divisors (see below), whose sum is σ = 29157408. Its totient is φ = 3290112.

The previous prime is 10488853. The next prime is 10488883. The reversal of 10488864 is 46888401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×104888642 = 220032536020992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1582 + ... + 4845.

It is an arithmetic number, because the mean of its divisors is an integer number (607446).

Almost surely, 210488864 is an apocalyptic number.

It is an amenable number.

10488864 is an abundant number, since it is smaller than the sum of its proper divisors (18668544).

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

10488864 is a wasteful number, since it uses less digits than its factorization.

10488864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6449 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 10488864 is about 3238.6515712562. The cubic root of 10488864 is about 218.8985163963.

The spelling of 10488864 in words is "ten million, four hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 6427 12854 19281 25708 38562 51416 77124 102832 109259 154248 205664 218518 308496 327777 437036 616992 655554 874072 1311108 1748144 2622216 3496288 5244432 10488864