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51688780 = 225112133153
BaseRepresentation
bin1100010100101…
…1010101001100
310121021001200021
43011023111030
5101213020110
65043511524
71165230103
oct305132514
9117231607
1051688780
11271a4600
12153885a4
13a929ca0
146c1703a
1548102da
hex314b54c

51688780 has 144 divisors (see below), whose sum is σ = 135136512. Its totient is φ = 16473600.

The previous prime is 51688771. The next prime is 51688807. The reversal of 51688780 is 8788615.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 975234 + ... + 975286.

It is an arithmetic number, because the mean of its divisors is an integer number (938448).

Almost surely, 251688780 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 51688780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67568256).

51688780 is an abundant number, since it is smaller than the sum of its proper divisors (83447732).

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

51688780 is a wasteful number, since it uses less digits than its factorization.

51688780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The square root of 51688780 is about 7189.4909416453. The cubic root of 51688780 is about 372.5049891979.

The spelling of 51688780 in words is "fifty-one million, six hundred eighty-eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 53 55 62 65 106 110 121 124 130 143 155 212 220 242 260 265 286 310 341 403 484 530 572 583 605 620 682 689 715 806 1060 1166 1210 1364 1378 1430 1573 1612 1643 1705 2015 2332 2420 2756 2860 2915 3146 3286 3410 3445 3751 4030 4433 5830 6292 6413 6572 6820 6890 7502 7579 7865 8060 8215 8866 11660 12826 13780 15004 15158 15730 16430 17732 18073 18755 21359 22165 25652 30316 31460 32065 32860 36146 37510 37895 42718 44330 48763 64130 72292 75020 75790 83369 85436 88660 90365 97526 106795 128260 151580 166738 180730 195052 198803 213590 234949 243815 333476 361460 397606 416845 427180 469898 487630 795212 833690 939796 975260 994015 1174745 1667380 1988030 2349490 2584439 3976060 4698980 5168878 10337756 12922195 25844390 51688780