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54977384 = 23711312879
BaseRepresentation
bin1101000110111…
…0001101101000
310211110010210102
43101232031220
5103033234014
65242204532
71235204630
oct321561550
9124403712
1054977384
1129040360
12164b3748
13b50bac7
1474316c0
154c5e8de
hex346e368

54977384 has 64 divisors (see below), whose sum is σ = 132710400. Its totient is φ = 20721600.

The previous prime is 54977341. The next prime is 54977387. The reversal of 54977384 is 48377945.

54977384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54977387) 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 15 ways as a sum of consecutive naturals, for example, 17657 + ... + 20535.

It is an arithmetic number, because the mean of its divisors is an integer number (2073600).

Almost surely, 254977384 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 54977384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66355200).

54977384 is an abundant number, since it is smaller than the sum of its proper divisors (77733016).

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

54977384 is a wasteful number, since it uses less digits than its factorization.

54977384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2930 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The square root of 54977384 is about 7414.6735599081. The cubic root of 54977384 is about 380.2431131281.

The spelling of 54977384 in words is "fifty-four million, nine hundred seventy-seven thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1736 2387 2728 2879 4774 5758 9548 11516 19096 20153 23032 31669 40306 63338 80612 89249 126676 161224 178498 221683 253352 356996 443366 624743 713992 886732 981739 1249486 1773464 1963478 2498972 3926956 4997944 6872173 7853912 13744346 27488692 54977384