Search a number
-
+
54935856 = 2432478117
BaseRepresentation
bin1101000110010…
…0000100110000
310211101000211100
43101210010300
5103030421411
65241244400
71234642563
oct321440460
9124330740
1054935856
1129012138
1216493700
13b4c5c31
1474204da
154c52456
hex3464130

54935856 has 60 divisors (see below), whose sum is σ = 157034592. Its totient is φ = 17920128.

The previous prime is 54935843. The next prime is 54935879. The reversal of 54935856 is 65853945.

54935856 is a `hidden beast` number, since 549 + 3 + 58 + 56 = 666.

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, 2710 + ... + 10826.

Almost surely, 254935856 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 54935856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78517296).

54935856 is an abundant number, since it is smaller than the sum of its proper divisors (102098736).

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

54935856 is a wasteful number, since it uses less digits than its factorization.

54935856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 8169 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 54935856 is about 7411.8726378696. The cubic root of 54935856 is about 380.1473482126.

The spelling of 54935856 in words is "fifty-four million, nine hundred thirty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 8117 16234 24351 32468 48702 64936 73053 97404 129872 146106 194808 292212 381499 389616 584424 762998 1144497 1168848 1525996 2288994 3051992 3433491 4577988 6103984 6866982 9155976 13733964 18311952 27467928 54935856