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26102144 = 27613343
BaseRepresentation
bin110001110010…
…0100110000000
31211010010102002
41203210212000
523140232034
62331243132
7434602355
oct143444600
954103362
1026102144
1113808a22
1288a94a8
13553ba73
14367662c
152458e7e
hex18e4980

26102144 has 32 divisors (see below), whose sum is σ = 52868640. Its totient is φ = 12833280.

The previous prime is 26102101. The next prime is 26102159. The reversal of 26102144 is 44120162.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6137 + ... + 9479.

It is an arithmetic number, because the mean of its divisors is an integer number (1652145).

Almost surely, 226102144 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 26102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26434320).

26102144 is an abundant number, since it is smaller than the sum of its proper divisors (26766496).

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

26102144 is an equidigital number, since it uses as much as digits as its factorization.

26102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 26102144 is about 5109.0257388273. The cubic root of 26102144 is about 296.6370501653.

The spelling of 26102144 in words is "twenty-six million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3343 3904 6686 7808 13372 26744 53488 106976 203923 213952 407846 427904 815692 1631384 3262768 6525536 13051072 26102144