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54027264 = 210343409
BaseRepresentation
bin1100111000011…
…0010000000000
310202122212110210
43032012100000
5102312333024
65205554120
71224136614
oct316062000
9122585423
1054027264
1128551535
1216115940
13b2684c5
147265344
154b23129
hex3386400

54027264 has 88 divisors (see below), whose sum is σ = 147711520. Its totient is φ = 17547264.

The previous prime is 54027263. The next prime is 54027277. The reversal of 54027264 is 46272045.

It is not an unprimeable number, because it can be changed into a prime (54027263) 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, 131892 + ... + 132300.

It is an arithmetic number, because the mean of its divisors is an integer number (1678540).

Almost surely, 254027264 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 54027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73855760).

54027264 is an abundant number, since it is smaller than the sum of its proper divisors (93684256).

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

54027264 is a wasteful number, since it uses less digits than its factorization.

54027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 54027264 is about 7350.3240744881. The cubic root of 54027264 is about 378.0399162797.

The spelling of 54027264 in words is "fifty-four million, twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 409 512 516 688 768 818 1024 1032 1227 1376 1536 1636 2064 2454 2752 3072 3272 4128 4908 5504 6544 8256 9816 11008 13088 16512 17587 19632 22016 26176 33024 35174 39264 44032 52352 52761 66048 70348 78528 104704 105522 132096 140696 157056 209408 211044 281392 314112 418816 422088 562784 628224 844176 1125568 1256448 1688352 2251136 3376704 4502272 6753408 9004544 13506816 18009088 27013632 54027264