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51185088 = 2633191559
BaseRepresentation
bin1100001101000…
…0010111000000
310120022110202000
43003100113000
5101100410323
65025024000
71161031443
oct303202700
9116273660
1051185088
1126990129
1215185000
13a7b1946
146b2565a
154760e43
hex30d05c0

51185088 has 112 divisors (see below), whose sum is σ = 158496000. Its totient is φ = 16153344.

The previous prime is 51185081. The next prime is 51185089. The reversal of 51185088 is 88058115.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51185081) 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, 32053 + ... + 33611.

Almost surely, 251185088 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 51185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79248000).

51185088 is an abundant number, since it is smaller than the sum of its proper divisors (107310912).

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

51185088 is a wasteful number, since it uses less digits than its factorization.

51185088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 51185088 is about 7154.3754444396. The cubic root of 51185088 is about 371.2910535154.

The spelling of 51185088 in words is "fifty-one million, one hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1559 1728 1824 2052 2736 3118 3648 4104 4677 5472 6236 8208 9354 10944 12472 14031 16416 18708 24944 28062 29621 32832 37416 42093 49888 56124 59242 74832 84186 88863 99776 112248 118484 149664 168372 177726 224496 236968 266589 299328 336744 355452 448992 473936 533178 673488 710904 799767 897984 947872 1066356 1346976 1421808 1599534 1895744 2132712 2693952 2843616 3199068 4265424 5687232 6398136 8530848 12796272 17061696 25592544 51185088