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12892488 = 2337219577
BaseRepresentation
bin110001001011…
…100101001000
3220021000011120
4301023211020
511300024423
61140155240
7214404300
oct61134510
926230146
1012892488
117306354
124398b20
1328952bb
1419d8600
1511e9ee3
hexc4b948

12892488 has 96 divisors (see below), whose sum is σ = 39535200. Its totient is φ = 3483648.

The previous prime is 12892487. The next prime is 12892493. The reversal of 12892488 is 88429821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12892483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22056 + ... + 22632.

It is an arithmetic number, because the mean of its divisors is an integer number (411825).

Almost surely, 212892488 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 12892488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767600).

12892488 is an abundant number, since it is smaller than the sum of its proper divisors (26642712).

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

12892488 is a wasteful number, since it uses less digits than its factorization.

12892488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 12892488 is about 3590.6110900514. The cubic root of 12892488 is about 234.4834769675.

The spelling of 12892488 in words is "twelve million, eight hundred ninety-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 577 588 798 931 1064 1154 1176 1596 1731 1862 2308 2793 3192 3462 3724 4039 4616 5586 6924 7448 8078 10963 11172 12117 13848 16156 21926 22344 24234 28273 32312 32889 43852 48468 56546 65778 76741 84819 87704 96936 113092 131556 153482 169638 226184 230223 263112 306964 339276 460446 537187 613928 678552 920892 1074374 1611561 1841784 2148748 3223122 4297496 6446244 12892488