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255144096 = 25321515867
BaseRepresentation
bin11110011010100…
…11000010100000
3122210002122220100
433031103002200
51010304102341
641152342400
76215455224
oct1715230240
9583078810
10255144096
11121027599
1271544a00
1340b23c4c
1425c58784
15175ed3b6
hexf3530a0

255144096 has 72 divisors (see below), whose sum is σ = 730495584. Its totient is φ = 84470400.

The previous prime is 255144073. The next prime is 255144101. The reversal of 255144096 is 690441552.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 255144096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40555 + ... + 46421.

It is an arithmetic number, because the mean of its divisors is an integer number (10145772).

Almost surely, 2255144096 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 255144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365247792).

255144096 is an abundant number, since it is smaller than the sum of its proper divisors (475351488).

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

255144096 is a wasteful number, since it uses less digits than its factorization.

255144096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 255144096 is about 15973.2306062362. The cubic root of 255144096 is about 634.2519937550.

The spelling of 255144096 in words is "two hundred fifty-five million, one hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 5867 7248 10872 11734 14496 17601 21744 23468 35202 43488 46936 52803 70404 93872 105606 140808 187744 211212 281616 422424 563232 844848 885917 1689696 1771834 2657751 3543668 5315502 7087336 7973253 10631004 14174672 15946506 21262008 28349344 31893012 42524016 63786024 85048032 127572048 255144096