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51047040 = 2735112417
BaseRepresentation
bin1100001010111…
…0101010000000
310120001110101010
43002232222000
5101032001130
65022040520
71156615122
oct302565200
9116043333
1051047040
11268a6440
1215119140
13a763b65
146acb212
1547350b0
hex30aea80

51047040 has 128 divisors (see below), whose sum is σ = 177577920. Its totient is φ = 12369920.

The previous prime is 51047023. The next prime is 51047071. The reversal of 51047040 is 4074015.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 51046998 and 51047016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19912 + ... + 22328.

Almost surely, 251047040 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 51047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88788960).

51047040 is an abundant number, since it is smaller than the sum of its proper divisors (126530880).

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

51047040 is a wasteful number, since it uses less digits than its factorization.

51047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 51047040 is about 7144.7211282177. The cubic root of 51047040 is about 370.9569579271.

The spelling of 51047040 in words is "fifty-one million, forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2417 2640 3520 4224 4834 5280 7040 7251 9668 10560 12085 14502 19336 21120 24170 26587 29004 36255 38672 48340 53174 58008 72510 77344 79761 96680 106348 116016 132935 145020 154688 159522 193360 212696 232032 265870 290040 309376 319044 386720 398805 425392 464064 531740 580080 638088 773440 797610 850784 928128 1063480 1160160 1276176 1546880 1595220 1701568 2126960 2320320 2552352 3190440 3403136 4253920 4640640 5104704 6380880 8507840 10209408 12761760 17015680 25523520 51047040