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125255808 = 27354027
BaseRepresentation
bin1110111011101…
…00000010000000
322201200122200000
413131310002000
5224031141213
620232400000
73050441166
oct735640200
9281618600
10125255808
11647815a7
1235b46000
131cc47282
14128c7236
15aee2c73
hex7774080

125255808 has 96 divisors (see below), whose sum is σ = 373878960. Its totient is φ = 41741568.

The previous prime is 125255791. The next prime is 125255831. The reversal of 125255808 is 808552521.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29091 + ... + 33117.

Almost surely, 2125255808 is an apocalyptic number.

125255808 is a gapful number since it is divisible by the number (18) 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 125255808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186939480).

125255808 is an abundant number, since it is smaller than the sum of its proper divisors (248623152).

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

125255808 is an frugal number, since it uses more digits than its factorization.

125255808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 125255808 is about 11191.7741220952. The cubic root of 125255808 is about 500.3408449300.

The spelling of 125255808 in words is "one hundred twenty-five million, two hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 4027 5184 7776 8054 10368 12081 15552 16108 24162 31104 32216 36243 48324 64432 72486 96648 108729 128864 144972 193296 217458 257728 289944 326187 386592 434916 515456 579888 652374 773184 869832 978561 1159776 1304748 1546368 1739664 1957122 2319552 2609496 3479328 3914244 4639104 5218992 6958656 7828488 10437984 13917312 15656976 20875968 31313952 41751936 62627904 125255808