Search a number
-
+
51712980 = 223511217419
BaseRepresentation
bin1100010101000…
…1001111010100
310121022021212120
43011101033110
5101214303410
65044215540
71165360464
oct305211724
9117267776
1051712980
1127210800
121539a5b0
13a937cc7
146c21ba4
154817570
hex31513d4

51712980 has 144 divisors (see below), whose sum is σ = 168920640. Its totient is φ = 11770880.

The previous prime is 51712957. The next prime is 51713021. The reversal of 51712980 is 8921715.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 123211 + ... + 123629.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 251712980 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 51712980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460320).

51712980 is an abundant number, since it is smaller than the sum of its proper divisors (117207660).

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

51712980 is a wasteful number, since it uses less digits than its factorization.

51712980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 51712980 is about 7191.1737567660. The cubic root of 51712980 is about 372.5631140899.

The spelling of 51712980 in words is "fifty-one million, seven hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 419 484 510 561 605 660 726 748 838 935 1020 1122 1210 1257 1452 1676 1815 1870 2057 2095 2244 2420 2514 2805 3630 3740 4114 4190 4609 5028 5610 6171 6285 7123 7260 8228 8380 9218 10285 11220 12342 12570 13827 14246 18436 20570 21369 23045 24684 25140 27654 28492 30855 35615 41140 42738 46090 50699 55308 61710 69135 71230 78353 85476 92180 101398 106845 123420 138270 142460 152097 156706 202796 213690 235059 253495 276540 304194 313412 391765 427380 470118 506990 608388 760485 783530 861883 940236 1013980 1175295 1520970 1567060 1723766 2350590 2585649 3041940 3447532 4309415 4701180 5171298 8618830 10342596 12928245 17237660 25856490 51712980