Search a number
-
+
54357696 = 263383379
BaseRepresentation
bin1100111101011…
…0111011000000
310210021122202000
43033112323000
5102403421241
65221024000
71230014151
oct317267300
9123248660
1054357696
1128757818
1216255000
13b352a23
14730d928
154b8aeb6
hex33d6ec0

54357696 has 112 divisors (see below), whose sum is σ = 162153600. Its totient is φ = 17853696.

The previous prime is 54357691. The next prime is 54357697. The reversal of 54357696 is 69675345.

It is a super-2 number, since 2×543576962 = 5909518228856832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54357691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143235 + ... + 143613.

It is an arithmetic number, because the mean of its divisors is an integer number (1447800).

Almost surely, 254357696 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 54357696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81076800).

54357696 is an abundant number, since it is smaller than the sum of its proper divisors (107795904).

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

54357696 is a wasteful number, since it uses less digits than its factorization.

54357696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 54357696 is about 7372.7671874270. The cubic root of 54357696 is about 378.8090506891.

It can be divided in two parts, 5435 and 7696, that added together give a palindrome (13131).

The spelling of 54357696 in words is "fifty-four million, three hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 288 332 379 432 498 576 664 747 758 864 996 1137 1328 1494 1516 1728 1992 2241 2274 2656 2988 3032 3411 3984 4482 4548 5312 5976 6064 6822 7968 8964 9096 10233 11952 12128 13644 15936 17928 18192 20466 23904 24256 27288 31457 35856 36384 40932 47808 54576 62914 71712 72768 81864 94371 109152 125828 143424 163728 188742 218304 251656 283113 327456 377484 503312 566226 654912 754968 849339 1006624 1132452 1509936 1698678 2013248 2264904 3019872 3397356 4529808 6039744 6794712 9059616 13589424 18119232 27178848 54357696