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26149144 = 2372411627
BaseRepresentation
bin110001111000…
…0000100011000
31211012111212211
41203300010120
523143233034
62332244504
7435156400
oct143600430
954174784
1026149144
111384026a
128910734
135557288
143689800
152467d64
hex18f0118

26149144 has 48 divisors (see below), whose sum is σ = 58461480. Its totient is φ = 10926720.

The previous prime is 26149141. The next prime is 26149157. The reversal of 26149144 is 44194162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26149141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15259 + ... + 16885.

Almost surely, 226149144 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 26149144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29230740).

26149144 is an abundant number, since it is smaller than the sum of its proper divisors (32312336).

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

26149144 is a wasteful number, since it uses less digits than its factorization.

26149144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1677 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 26149144 is about 5113.6233729128. The cubic root of 26149144 is about 296.8149867833.

The spelling of 26149144 in words is "twenty-six million, one hundred forty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 1627 2009 2296 3254 4018 6508 8036 11389 13016 16072 22778 45556 66707 79723 91112 133414 159446 266828 318892 466949 533656 637784 933898 1867796 3268643 3735592 6537286 13074572 26149144