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51969680 = 24571753103
BaseRepresentation
bin1100011000111…
…1111010010000
310121210022222222
43012033322100
5101301012210
65053520212
71200510050
oct306177220
9117708888
1051969680
1127376654
12154a3068
13a9c7ab9
146c8b560
154868655
hex318fe90

51969680 has 160 divisors (see below), whose sum is σ = 150418944. Its totient is φ = 16293888.

The previous prime is 51969679. The next prime is 51969683. The reversal of 51969680 is 8696915.

51969680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 72092-1.

It is not an unprimeable number, because it can be changed into a prime (51969683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504509 + ... + 504611.

Almost surely, 251969680 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 51969680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75209472).

51969680 is an abundant number, since it is smaller than the sum of its proper divisors (98449264).

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

51969680 is a wasteful number, since it uses less digits than its factorization.

51969680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 51969680 is about 7208.9999306423. Note that the first 4 decimals coincide. The cubic root of 51969680 is about 373.1785568734.

The spelling of 51969680 in words is "fifty-one million, nine hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 53 56 68 70 80 85 103 106 112 119 136 140 170 206 212 238 265 272 280 340 371 412 424 476 515 530 560 595 680 721 742 824 848 901 952 1030 1060 1190 1360 1442 1484 1648 1751 1802 1855 1904 2060 2120 2380 2884 2968 3502 3604 3605 3710 4120 4240 4505 4760 5459 5768 5936 6307 7004 7208 7210 7420 8240 8755 9010 9520 10918 11536 12257 12614 14008 14416 14420 14840 17510 18020 21836 24514 25228 27295 28016 28840 29680 31535 35020 36040 38213 43672 49028 50456 54590 57680 61285 63070 70040 72080 76426 87344 92803 98056 100912 109180 122570 126140 140080 152852 185606 191065 196112 218360 245140 252280 305704 371212 382130 436720 464015 490280 504560 611408 649621 742424 764260 928030 980560 1299242 1484848 1528520 1856060 2598484 3057040 3248105 3712120 5196968 6496210 7424240 10393936 12992420 25984840 51969680