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51784980 = 22351325107
BaseRepresentation
bin1100010110001…
…0110100010100
310121102221122020
43011202310110
5101224104410
65045533140
71166110422
oct305426424
9117387566
1051784980
112725a905
12154141b0
13a961a00
146c40112
15482da70
hex3162d14

51784980 has 72 divisors (see below), whose sum is σ = 157040352. Its totient is φ = 12744576.

The previous prime is 51784961. The next prime is 51784987. The reversal of 51784980 is 8948715.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51784987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7587 + ... + 12693.

It is an arithmetic number, because the mean of its divisors is an integer number (2181116).

Almost surely, 251784980 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 51784980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78520176).

51784980 is an abundant number, since it is smaller than the sum of its proper divisors (105255372).

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

51784980 is a wasteful number, since it uses less digits than its factorization.

51784980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 51784980 is about 7196.1781523250. The cubic root of 51784980 is about 372.7359404903.

The spelling of 51784980 in words is "fifty-one million, seven hundred eighty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 5107 10140 10214 15321 20428 25535 30642 51070 61284 66391 76605 102140 132782 153210 199173 265564 306420 331955 398346 663910 796692 863083 995865 1327820 1726166 1991730 2589249 3452332 3983460 4315415 5178498 8630830 10356996 12946245 17261660 25892490 51784980