Search a number
-
+
54851076 = 22327307709
BaseRepresentation
bin1101000100111…
…1011000000100
310211012201112100
43101033120010
5103020213301
65235352100
71234140450
oct321173004
9124181470
1054851076
1128a64475
1216452630
13b496477
1473db660
154c37286
hex344f604

54851076 has 72 divisors (see below), whose sum is σ = 159199040. Its totient is φ = 15598656.

The previous prime is 54851063. The next prime is 54851099. The reversal of 54851076 is 67015845.

54851076 is a `hidden beast` number, since 548 + 5 + 107 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54851076.

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 23 ways as a sum of consecutive naturals, for example, 77010 + ... + 77718.

Almost surely, 254851076 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 54851076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79599520).

54851076 is an abundant number, since it is smaller than the sum of its proper divisors (104347964).

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

54851076 is a wasteful number, since it uses less digits than its factorization.

54851076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 54851076 is about 7406.1512271895. The cubic root of 54851076 is about 379.9516928436.

It can be divided in two parts, 5485 and 1076, that added together give a 8-th power (6561 = 38).

The spelling of 54851076 in words is "fifty-four million, eight hundred fifty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 307 614 709 921 1228 1418 1842 2127 2149 2763 2836 3684 4254 4298 4963 5526 6381 6447 8508 8596 9926 11052 12762 12894 14889 19341 19852 25524 25788 29778 38682 44667 59556 77364 89334 178668 217663 435326 652989 870652 1305978 1523641 1958967 2611956 3047282 3917934 4570923 6094564 7835868 9141846 13712769 18283692 27425538 54851076