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26196864 = 273174013
BaseRepresentation
bin110001111101…
…1101110000000
31211021221100020
41203323232000
523201244424
62333253440
7435445461
oct143735600
954257306
1026196864
1113873101
128934280
135572c05
14369cd68
152477079
hex18fbb80

26196864 has 64 divisors (see below), whose sum is σ = 73697040. Its totient is φ = 8216576.

The previous prime is 26196857. The next prime is 26196899. The reversal of 26196864 is 46869162.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4522 + ... + 8534.

Almost surely, 226196864 is an apocalyptic number.

26196864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36848520).

26196864 is an abundant number, since it is smaller than the sum of its proper divisors (47500176).

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

26196864 is a wasteful number, since it uses less digits than its factorization.

26196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4035 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 26196864 is about 5118.2872135120. The cubic root of 26196864 is about 296.9954312349.

The spelling of 26196864 in words is "twenty-six million, one hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 4013 6528 8026 12039 16052 24078 32104 48156 64208 68221 96312 128416 136442 192624 204663 256832 272884 385248 409326 513664 545768 770496 818652 1091536 1540992 1637304 2183072 3274608 4366144 6549216 8732288 13098432 26196864