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12881597 = 17229253
BaseRepresentation
bin110001001000…
…111010111101
3220020110020012
4301020322331
511244202342
61140033005
7214330451
oct61107275
926213205
1012881597
1172a9153
124392765
132890361
1419d4661
1511e6b82
hexc48ebd

12881597 has 18 divisors (see below), whose sum is σ = 14439438. Its totient is φ = 11484928.

The previous prime is 12881581. The next prime is 12881599. The reversal of 12881597 is 79518821.

It can be written as a sum of positive squares in 9 ways, for example, as 22201 + 12859396 = 149^2 + 3586^2 .

It is not a de Polignac number, because 12881597 - 24 = 12881581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12881599) 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 17 ways as a sum of consecutive naturals, for example, 243023 + ... + 243075.

It is an arithmetic number, because the mean of its divisors is an integer number (802191).

Almost surely, 212881597 is an apocalyptic number.

12881597 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12881597 is a deficient number, since it is larger than the sum of its proper divisors (1557841).

12881597 is an equidigital number, since it uses as much as digits as its factorization.

12881597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 99 counting only the distinct ones).

The product of its digits is 40320, while the sum is 41.

The square root of 12881597 is about 3589.0941754153. The cubic root of 12881597 is about 234.4174312985.

The spelling of 12881597 in words is "twelve million, eight hundred eighty-one thousand, five hundred ninety-seven".

Divisors: 1 17 29 53 289 493 841 901 1537 8381 14297 15317 26129 44573 243049 444193 757741 12881597