Search a number
-
+
54356928 = 263893181
BaseRepresentation
bin1100111101011…
…0101111000000
310210021121200120
43033112233000
5102403410203
65221020240
71230012003
oct317265700
9123247616
1054356928
112875718a
1216254680
13b352582
14730d53a
154b8ab53
hex33d6bc0

54356928 has 56 divisors (see below), whose sum is σ = 145481040. Its totient is φ = 17909760.

The previous prime is 54356927. The next prime is 54356947. The reversal of 54356928 is 82965345.

It is a self number, because there is not a number n which added to its sum of digits gives 54356928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54356927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15498 + ... + 18678.

Almost surely, 254356928 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 54356928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72740520).

54356928 is an abundant number, since it is smaller than the sum of its proper divisors (91124112).

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

54356928 is a wasteful number, since it uses less digits than its factorization.

54356928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3275 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 54356928 is about 7372.7151036779. The cubic root of 54356928 is about 378.8072666625.

The spelling of 54356928 in words is "fifty-four million, three hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 1068 1424 2136 2848 3181 4272 5696 6362 8544 9543 12724 17088 19086 25448 38172 50896 76344 101792 152688 203584 283109 305376 566218 610752 849327 1132436 1698654 2264872 3397308 4529744 6794616 9059488 13589232 18118976 27178464 54356928