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54758112 = 2531095233
BaseRepresentation
bin1101000011100…
…0101011100000
310211001000000020
43100320223200
5103004224422
65233353440
71233302433
oct320705340
9124030006
1054758112
1128a00642
1216408880
13b463066
1473b581a
154c1995c
hex3438ae0

54758112 has 48 divisors (see below), whose sum is σ = 145086480. Its totient is φ = 18081792.

The previous prime is 54758107. The next prime is 54758129. The reversal of 54758112 is 21185745.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7848 + ... + 13080.

It is an arithmetic number, because the mean of its divisors is an integer number (3022635).

Almost surely, 254758112 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 54758112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72543240).

54758112 is an abundant number, since it is smaller than the sum of its proper divisors (90328368).

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

54758112 is a wasteful number, since it uses less digits than its factorization.

54758112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5347 counting only the distinct ones).

The product of its digits is 11200, while the sum is 33.

The square root of 54758112 is about 7399.8724313329. The cubic root of 54758112 is about 379.7369185519.

The spelling of 54758112 in words is "fifty-four million, seven hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 5232 5233 10464 10466 15699 20932 31398 41864 62796 83728 125592 167456 251184 502368 570397 1140794 1711191 2281588 3422382 4563176 6844764 9126352 13689528 18252704 27379056 54758112