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26430144 = 2631310589
BaseRepresentation
bin110010011010…
…0101011000000
31211201210100020
41210310223000
523231231034
62342253440
7440436546
oct144645300
954653306
1026430144
1113a123a4
128a27280
135625150
14371dd96
1524c1249
hex1934ac0

26430144 has 56 divisors (see below), whose sum is σ = 75316080. Its totient is φ = 8131584.

The previous prime is 26430143. The next prime is 26430179. The reversal of 26430144 is 44103462.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (26430143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2799 + ... + 7790.

It is an arithmetic number, because the mean of its divisors is an integer number (1344930).

Almost surely, 226430144 is an apocalyptic number.

26430144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26430144 is an abundant number, since it is smaller than the sum of its proper divisors (48885936).

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

26430144 is a wasteful number, since it uses less digits than its factorization.

26430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10617 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 26430144 is about 5141.0255786176. The cubic root of 26430144 is about 297.8743971674.

The spelling of 26430144 in words is "twenty-six million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 10589 21178 31767 42356 63534 84712 127068 137657 169424 254136 275314 338848 412971 508272 550628 677696 825942 1016544 1101256 1651884 2033088 2202512 3303768 4405024 6607536 8810048 13215072 26430144