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52257728 = 2617431117
BaseRepresentation
bin1100011101011…
…0001111000000
310122022222010102
43013112033000
5101334221403
65104021532
71203116615
oct307261700
9118288112
1052257728
1127553006
12156018a8
13aa98c43
146d2450c
1548c3b88
hex31d63c0

52257728 has 56 divisors (see below), whose sum is σ = 112452912. Its totient is φ = 23998464.

The previous prime is 52257721. The next prime is 52257731. The reversal of 52257728 is 82775225.

It is a junction number, because it is equal to n+sod(n) for n = 52257691 and 52257700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52257721) 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, 46226 + ... + 47342.

Almost surely, 252257728 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 52257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56226456).

52257728 is an abundant number, since it is smaller than the sum of its proper divisors (60195184).

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

52257728 is a wasteful number, since it uses less digits than its factorization.

52257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1179 counting only the distinct ones).

The product of its digits is 78400, while the sum is 38.

The square root of 52257728 is about 7228.9506845738. The cubic root of 52257728 is about 373.8667488353.

The spelling of 52257728 in words is "fifty-two million, two hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 136 172 272 344 544 688 731 1088 1117 1376 1462 2234 2752 2924 4468 5848 8936 11696 17872 18989 23392 35744 37978 46784 48031 71488 75956 96062 151912 192124 303824 384248 607648 768496 816527 1215296 1536992 1633054 3073984 3266108 6532216 13064432 26128864 52257728