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51134976 = 2936137
BaseRepresentation
bin1100001100010…
…0001000000000
310120012221000000
43003010020000
5101042304401
65024000000
71160432364
oct303041000
9116187000
1051134976
1126956512
1215160000
13a794ba9
146b112a4
154751186
hex30c4200

51134976 has 140 divisors (see below), whose sum is σ = 154303182. Its totient is φ = 16920576.

The previous prime is 51134939. The next prime is 51135001. The reversal of 51134976 is 67943115.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 9144576 = 6480^2 + 3024^2 .

It is a super-2 number, since 2×511349762 = 5229571541041152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51134976.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 373180 + ... + 373316.

Almost surely, 251134976 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 51134976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77151591).

51134976 is an abundant number, since it is smaller than the sum of its proper divisors (103168206).

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

51134976 is an frugal number, since it uses more digits than its factorization.

51134976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 51134976 is about 7150.8723943306. The cubic root of 51134976 is about 371.1698449543.

The spelling of 51134976 in words is "fifty-one million, one hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 137 144 162 192 216 243 256 274 288 324 384 411 432 486 512 548 576 648 729 768 822 864 972 1096 1152 1233 1296 1458 1536 1644 1728 1944 2192 2304 2466 2592 2916 3288 3456 3699 3888 4384 4608 4932 5184 5832 6576 6912 7398 7776 8768 9864 10368 11097 11664 13152 13824 14796 15552 17536 19728 20736 22194 23328 26304 29592 31104 33291 35072 39456 41472 44388 46656 52608 59184 62208 66582 70144 78912 88776 93312 99873 105216 118368 124416 133164 157824 177552 186624 199746 210432 236736 266328 315648 355104 373248 399492 473472 532656 631296 710208 798984 946944 1065312 1420416 1597968 1893888 2130624 2840832 3195936 4261248 5681664 6391872 8522496 12783744 17044992 25567488 51134976