Search a number
-
+
51265152 = 273244501
BaseRepresentation
bin1100001110001…
…1111010000000
310120110112120100
43003203322000
5101110441102
65030442400
71161514041
oct303437200
9116415510
1051265152
1126a352a4
1215203400
13a80c213
146b468c8
154779a1c
hex30e3e80

51265152 has 48 divisors (see below), whose sum is σ = 147524130. Its totient is φ = 17088000.

The previous prime is 51265139. The next prime is 51265153. The reversal of 51265152 is 25156215.

51265152 is a `hidden beast` number, since 5 + 1 + 2 + 651 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41679936 + 9585216 = 6456^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (51265153) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 21099 + ... + 23402.

Almost surely, 251265152 is an apocalyptic number.

It is an amenable number.

51265152 is an abundant number, since it is smaller than the sum of its proper divisors (96258978).

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

51265152 is a wasteful number, since it uses less digits than its factorization.

51265152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44521 (or 44506 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 51265152 is about 7159.9687150155. The cubic root of 51265152 is about 371.4845445091.

The spelling of 51265152 in words is "fifty-one million, two hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 44501 89002 133503 178004 267006 356008 400509 534012 712016 801018 1068024 1424032 1602036 2136048 2848064 3204072 4272096 5696128 6408144 8544192 12816288 17088384 25632576 51265152