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54052032 = 263436547
BaseRepresentation
bin1100111000110…
…0010011000000
310202201010110010
43032030103000
5102314131112
65210304520
71224302046
oct316142300
9122633403
1054052032
1128569101
1216128140
13b276868
147270396
154b2a63c
hex338c4c0

54052032 has 56 divisors (see below), whose sum is σ = 146360896. Its totient is φ = 17595648.

The previous prime is 54051973. The next prime is 54052043. The reversal of 54052032 is 23025045.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4983 + ... + 11529.

Almost surely, 254052032 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 54052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180448).

54052032 is an abundant number, since it is smaller than the sum of its proper divisors (92308864).

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

54052032 is a wasteful number, since it uses less digits than its factorization.

54052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6595 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 54052032 is about 7352.0087051091. The cubic root of 54052032 is about 378.0976763900.

Adding to 54052032 its reverse (23025045), we get a palindrome (77077077).

The spelling of 54052032 in words is "fifty-four million, fifty-two thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 6547 8256 13094 19641 26188 39282 52376 78564 104752 157128 209504 281521 314256 419008 563042 628512 844563 1126084 1257024 1689126 2252168 3378252 4504336 6756504 9008672 13513008 18017344 27026016 54052032