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12890488 = 23131723317
BaseRepresentation
bin110001001011…
…000101111000
3220020220102111
4301023011320
511244443423
61140142104
7214365412
oct61130570
926226374
1012890488
1173048a6
124397934
132894410
1419d79b2
1511e960d
hexc4b178

12890488 has 64 divisors (see below), whose sum is σ = 28848960. Its totient is φ = 5339136.

The previous prime is 12890483. The next prime is 12890489. The reversal of 12890488 is 88409821.

12890488 is nontrivially palindromic in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 12890488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12890483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40506 + ... + 40822.

It is an arithmetic number, because the mean of its divisors is an integer number (450765).

Almost surely, 212890488 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 12890488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424480).

12890488 is an abundant number, since it is smaller than the sum of its proper divisors (15958472).

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

12890488 is a wasteful number, since it uses less digits than its factorization.

12890488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 12890488 is about 3590.3325751245. The cubic root of 12890488 is about 234.4713512706.

The spelling of 12890488 in words is "twelve million, eight hundred ninety thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 299 317 391 442 598 634 782 884 1196 1268 1564 1768 2392 2536 3128 4121 5083 5389 7291 8242 10166 10778 14582 16484 20332 21556 29164 32968 40664 43112 58328 70057 94783 123947 140114 189566 247894 280228 379132 495788 560456 758264 991576 1611311 3222622 6445244 12890488