Search a number
-
+
50972936 = 2372177649
BaseRepresentation
bin1100001001110…
…0100100001000
310112220200201112
43002130210020
5101022113221
65020305452
71156156100
oct302344410
9115820645
1050972936
11268557a3
12150a2288
13a739201
146aac200
15471d15b
hex309c908

50972936 has 48 divisors (see below), whose sum is σ = 117733500. Its totient is φ = 20557824.

The previous prime is 50972927. The next prime is 50972947. The reversal of 50972936 is 63927905.

It can be written as a sum of positive squares in 2 ways, for example, as 49984900 + 988036 = 7070^2 + 994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 50972893 and 50972902.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2840 + ... + 10488.

Almost surely, 250972936 is an apocalyptic number.

50972936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50972936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58866750).

50972936 is an abundant number, since it is smaller than the sum of its proper divisors (66760564).

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

50972936 is a wasteful number, since it uses less digits than its factorization.

50972936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686 (or 7675 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 50972936 is about 7139.5333180818. The cubic root of 50972936 is about 370.7773673175. Note that the first 3 decimals are identical.

The spelling of 50972936 in words is "fifty million, nine hundred seventy-two thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 6664 7649 15298 30596 53543 61192 107086 130033 214172 260066 374801 428344 520132 749602 910231 1040264 1499204 1820462 2998408 3640924 6371617 7281848 12743234 25486468 50972936