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51079080 = 233513137239
BaseRepresentation
bin1100001011011…
…0011110101000
310120010002022210
43002312132220
5101034012310
65022445120
71160110413
oct302663650
9116102283
1051079080
1126918518
12151337a0
13a775610
146ad8b7a
15473e820
hex30b67a8

51079080 has 128 divisors (see below), whose sum is σ = 166924800. Its totient is φ = 12429312.

The previous prime is 51079079. The next prime is 51079097. The reversal of 51079080 is 8097015.

51079080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 213601 + ... + 213839.

It is an arithmetic number, because the mean of its divisors is an integer number (1304100).

Almost surely, 251079080 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 51079080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

51079080 is an abundant number, since it is smaller than the sum of its proper divisors (115845720).

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

51079080 is a wasteful number, since it uses less digits than its factorization.

51079080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 51079080 is about 7146.9629913691. The cubic root of 51079080 is about 371.0345528613.

The spelling of 51079080 in words is "fifty-one million, seventy-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 137 156 195 239 260 274 312 390 411 478 520 548 685 717 780 822 956 1096 1195 1370 1434 1560 1644 1781 1912 2055 2390 2740 2868 3107 3288 3562 3585 4110 4780 5343 5480 5736 6214 7124 7170 8220 8905 9321 9560 10686 12428 14248 14340 15535 16440 17810 18642 21372 24856 26715 28680 31070 32743 35620 37284 42744 46605 53430 62140 65486 71240 74568 93210 98229 106860 124280 130972 163715 186420 196458 213720 261944 327430 372840 392916 425659 491145 654860 785832 851318 982290 1276977 1309720 1702636 1964580 2128295 2553954 3405272 3929160 4256590 5107908 6384885 8513180 10215816 12769770 17026360 25539540 51079080