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255164904 = 2334449877
BaseRepresentation
bin11110011010110…
…00000111101000
3122210010201110000
433031120013220
51010310234104
641153023000
76215603001
oct1715300750
9583121400
10255164904
11121041195
1271554a60
1340b30567
1425c621a8
1517604639
hexf3581e8

255164904 has 80 divisors (see below), whose sum is σ = 717106500. Its totient is φ = 84768768.

The previous prime is 255164873. The next prime is 255164909. The reversal of 255164904 is 409461552.

255164904 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 649 + 0 + 4 = 666.

255164904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 240188004 + 14976900 = 15498^2 + 3870^2 .

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

It is not an unprimeable number, because it can be changed into a prime (255164909) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290514 + ... + 291390.

Almost surely, 2255164904 is an apocalyptic number.

255164904 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 255164904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358553250).

255164904 is an abundant number, since it is smaller than the sum of its proper divisors (461941596).

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

255164904 is a wasteful number, since it uses less digits than its factorization.

255164904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1331 counting only the distinct ones).

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

The square root of 255164904 is about 15973.8819327050. The cubic root of 255164904 is about 634.2692351975.

The spelling of 255164904 in words is "two hundred fifty-five million, one hundred sixty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 449 648 877 898 1347 1754 1796 2631 2694 3508 3592 4041 5262 5388 7016 7893 8082 10524 10776 12123 15786 16164 21048 23679 24246 31572 32328 36369 47358 48492 63144 71037 72738 94716 96984 142074 145476 189432 284148 290952 393773 568296 787546 1181319 1575092 2362638 3150184 3543957 4725276 7087914 9450552 10631871 14175828 21263742 28351656 31895613 42527484 63791226 85054968 127582452 255164904