Search a number
-
+
51958980 = 22325288661
BaseRepresentation
bin1100011000110…
…1010011000100
310121202210022200
43012031103010
5101300141410
65053354500
71200433623
oct306152304
9117683280
1051958980
1127369607
1215498a30
13a9c2c78
146c876ba
1548653c0
hex318d4c4

51958980 has 36 divisors (see below), whose sum is σ = 157609452. Its totient is φ = 13855680.

The previous prime is 51958979. The next prime is 51959003. The reversal of 51958980 is 8985915.

51958980 is a `hidden beast` number, since 519 + 58 + 9 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26071236 + 25887744 = 5106^2 + 5088^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 144151 + ... + 144510.

Almost surely, 251958980 is an apocalyptic number.

It is an amenable number.

51958980 is an abundant number, since it is smaller than the sum of its proper divisors (105650472).

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

51958980 is a wasteful number, since it uses less digits than its factorization.

51958980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288676 (or 288671 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 51958980 is about 7208.2577645364. The cubic root of 51958980 is about 373.1529439607.

The spelling of 51958980 in words is "fifty-one million, nine hundred fifty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 288661 577322 865983 1154644 1443305 1731966 2597949 2886610 3463932 4329915 5195898 5773220 8659830 10391796 12989745 17319660 25979490 51958980