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51390504 = 23331143503
BaseRepresentation
bin1100010000001…
…0100000101000
310120200220112000
43010002200220
5101123444004
65033251000
71162545354
oct304024050
9116626460
1051390504
11270104a0
1215263a60
13a8542a9
146b7a464
1547a1c39
hex3102828

51390504 has 128 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 15180480.

The previous prime is 51390433. The next prime is 51390569. The reversal of 51390504 is 40509315.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101917 + ... + 102419.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 251390504 is an apocalyptic number.

51390504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51390504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

51390504 is an abundant number, since it is smaller than the sum of its proper divisors (108276696).

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

51390504 is a wasteful number, since it uses less digits than its factorization.

51390504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 51390504 is about 7168.7170400289. The cubic root of 51390504 is about 371.7870789865.

Adding to 51390504 its reverse (40509315), we get a palindrome (91899819).

The spelling of 51390504 in words is "fifty-one million, three hundred ninety thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 86 88 99 108 129 132 172 198 216 258 264 297 344 387 396 473 503 516 594 774 792 946 1006 1032 1161 1188 1419 1509 1548 1892 2012 2322 2376 2838 3018 3096 3784 4024 4257 4527 4644 5533 5676 6036 8514 9054 9288 11066 11352 12072 12771 13581 16599 17028 18108 21629 22132 25542 27162 33198 34056 36216 43258 44264 49797 51084 54324 64887 66396 86516 99594 102168 108648 129774 132792 149391 173032 194661 199188 237919 259548 298782 389322 398376 475838 519096 583983 597564 713757 778644 951676 1167966 1195128 1427514 1557288 1903352 2141271 2335932 2855028 4282542 4671864 5710056 6423813 8565084 12847626 17130168 25695252 51390504