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54125008 = 24721731131
BaseRepresentation
bin1100111001111…
…0000111010000
310202211211112221
43032132013100
5102324000013
65212030424
71225024600
oct316360720
9122754487
1054125008
1128608a13
1216162414
13b2a0b42
14728cc00
154b4208d
hex339e1d0

54125008 has 120 divisors (see below), whose sum is σ = 134348544. Its totient is φ = 20966400.

The previous prime is 54124997. The next prime is 54125009. The reversal of 54125008 is 80052145.

54125008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54125009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413103 + ... + 413233.

Almost surely, 254125008 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 54125008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174272).

54125008 is an abundant number, since it is smaller than the sum of its proper divisors (80223536).

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

54125008 is a wasteful number, since it uses less digits than its factorization.

54125008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 54125008 is about 7356.9700284832. The cubic root of 54125008 is about 378.2677572480.

The spelling of 54125008 in words is "fifty-four million, one hundred twenty-five thousand, eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 49 56 62 68 98 112 119 124 131 136 196 217 238 248 262 272 392 434 476 496 524 527 784 833 868 917 952 1048 1054 1519 1666 1736 1834 1904 2096 2108 2227 3038 3332 3472 3668 3689 4061 4216 4454 6076 6419 6664 7336 7378 8122 8432 8908 12152 12838 13328 14672 14756 15589 16244 17816 24304 25676 25823 28427 29512 31178 32488 35632 51352 51646 56854 59024 62356 64976 69037 102704 103292 109123 113708 124712 138074 198989 206584 218246 227416 249424 276148 397978 413168 436492 454832 483259 552296 795956 872984 966518 1104592 1591912 1745968 1933036 3183824 3382813 3866072 6765626 7732144 13531252 27062504 54125008