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51289480 = 23511210597
BaseRepresentation
bin1100001110100…
…1110110001000
310120111202221101
43003221312020
5101112230410
65031151144
71161645004
oct303516610
9116452841
1051289480
1126a51600
12152154b4
13a81a308
146b51704
154781d3a
hex30e9d88

51289480 has 48 divisors (see below), whose sum is σ = 126858060. Its totient is φ = 18648960.

The previous prime is 51289453. The next prime is 51289481. The reversal of 51289480 is 8498215.

It can be written as a sum of positive squares in 2 ways, for example, as 44435556 + 6853924 = 6666^2 + 2618^2 .

It is a super-2 number, since 2×512894802 = 5261221517340800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (51289481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459 + ... + 10138.

Almost surely, 251289480 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 51289480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63429030).

51289480 is an abundant number, since it is smaller than the sum of its proper divisors (75568580).

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

51289480 is a wasteful number, since it uses less digits than its factorization.

51289480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10630 (or 10615 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 51289480 is about 7161.6674036149. The cubic root of 51289480 is about 371.5432981747.

The spelling of 51289480 in words is "fifty-one million, two hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 10597 21194 42388 52985 84776 105970 116567 211940 233134 423880 466268 582835 932536 1165670 1282237 2331340 2564474 4662680 5128948 6411185 10257896 12822370 25644740 51289480