Search a number
-
+
51075264 = 263299173
BaseRepresentation
bin1100001011010…
…1100011000000
310120002220002110
43002311203000
5101033402024
65022415320
71160063322
oct302654300
9116086073
1051075264
1126915669
1215131540
13a773966
146ad7612
15473d629
hex30b58c0

51075264 has 56 divisors (see below), whose sum is σ = 139811760. Its totient is φ = 16436224.

The previous prime is 51075257. The next prime is 51075301. The reversal of 51075264 is 46257015.

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, 982 + ... + 10154.

Almost surely, 251075264 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 51075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69905880).

51075264 is an abundant number, since it is smaller than the sum of its proper divisors (88736496).

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

51075264 is a wasteful number, since it uses less digits than its factorization.

51075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9207 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 51075264 is about 7146.6960198402. The cubic root of 51075264 is about 371.0253129199.

The spelling of 51075264 in words is "fifty-one million, seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 9173 18346 27519 36692 55038 73384 110076 146768 220152 266017 293536 440304 532034 587072 798051 880608 1064068 1596102 1761216 2128136 3192204 4256272 6384408 8512544 12768816 17025088 25537632 51075264