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51931040 = 2557199233
BaseRepresentation
bin1100011000011…
…0011110100000
310121201100222212
43012012132200
5101243243130
65053021252
71200256310
oct306063640
9117640885
1051931040
112734a617
1215484828
13a9b3335
146c7b440
15485be95
hex31867a0

51931040 has 96 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 17639424.

The previous prime is 51931037. The next prime is 51931063. The reversal of 51931040 is 4013915.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 51930997 and 51931015.

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, 222764 + ... + 222996.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 251931040 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 51931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

51931040 is an abundant number, since it is smaller than the sum of its proper divisors (89592160).

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

51931040 is a wasteful number, since it uses less digits than its factorization.

51931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 51931040 is about 7206.3194489281. The cubic root of 51931040 is about 373.0860465570.

Adding to 51931040 its reverse (4013915), we get a palindrome (55944955).

The spelling of 51931040 in words is "fifty-one million, nine hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 199 224 233 280 398 466 560 796 932 995 1120 1165 1393 1592 1631 1864 1990 2330 2786 3184 3262 3728 3980 4660 5572 6368 6524 6965 7456 7960 8155 9320 11144 13048 13930 15920 16310 18640 22288 26096 27860 31840 32620 37280 44576 46367 52192 55720 65240 92734 111440 130480 185468 222880 231835 260960 324569 370936 463670 649138 741872 927340 1298276 1483744 1622845 1854680 2596552 3245690 3709360 5193104 6491380 7418720 10386208 12982760 25965520 51931040