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54916256 = 251729592
BaseRepresentation
bin1101000101111…
…1010010100000
310211100000221102
43101133102200
5103024310011
65241013532
71234531463
oct321372240
9124300842
1054916256
1128aa943a
12164842a8
13b4ba035
1474172da
154c4b73b
hex345f4a0

54916256 has 72 divisors (see below), whose sum is σ = 120464820. Its totient is φ = 24528896.

The previous prime is 54916247. The next prime is 54916331. The reversal of 54916256 is 65261945.

It can be written as a sum of positive squares in 2 ways, for example, as 53523856 + 1392400 = 7316^2 + 1180^2 .

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, 930755 + ... + 930813.

Almost surely, 254916256 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 54916256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60232410).

54916256 is an abundant number, since it is smaller than the sum of its proper divisors (65548564).

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

54916256 is a wasteful number, since it uses less digits than its factorization.

54916256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 107 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The square root of 54916256 is about 7410.5503169468. The cubic root of 54916256 is about 380.1021332119.

The spelling of 54916256 in words is "fifty-four million, nine hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 59 68 116 118 136 232 236 272 464 472 493 544 928 944 986 1003 1711 1888 1972 2006 3422 3481 3944 4012 6844 6962 7888 8024 13688 13924 15776 16048 27376 27848 29087 32096 54752 55696 58174 59177 100949 111392 116348 118354 201898 232696 236708 403796 465392 473416 807592 930784 946832 1615184 1716133 1893664 3230368 3432266 6864532 13729064 27458128 54916256