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51794880 = 2635163331
BaseRepresentation
bin1100010110010…
…1001111000000
310121110110012220
43011211033000
5101224414010
65050051040
71166151324
oct305451700
9117413186
1051794880
1127267295
1215419a80
13a966377
146c43984
154831970
hex31653c0

51794880 has 112 divisors (see below), whose sum is σ = 165957504. Its totient is φ = 13685760.

The previous prime is 51794879. The next prime is 51794909. The reversal of 51794880 is 8849715.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 156315 + ... + 156645.

Almost surely, 251794880 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 51794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82978752).

51794880 is an abundant number, since it is smaller than the sum of its proper divisors (114162624).

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

51794880 is a wasteful number, since it uses less digits than its factorization.

51794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

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

The square root of 51794880 is about 7196.8659845797. The cubic root of 51794880 is about 372.7596915901.

The spelling of 51794880 in words is "fifty-one million, seven hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 163 192 240 320 326 331 480 489 652 662 815 960 978 993 1304 1324 1630 1655 1956 1986 2445 2608 2648 3260 3310 3912 3972 4890 4965 5216 5296 6520 6620 7824 7944 9780 9930 10432 10592 13040 13240 15648 15888 19560 19860 21184 26080 26480 31296 31776 39120 39720 52160 52960 53953 63552 78240 79440 105920 107906 156480 158880 161859 215812 269765 317760 323718 431624 539530 647436 809295 863248 1079060 1294872 1618590 1726496 2158120 2589744 3237180 3452992 4316240 5179488 6474360 8632480 10358976 12948720 17264960 25897440 51794880