Search a number
-
+
5431082724 = 223416762601
BaseRepresentation
bin1010000111011011…
…11011111011100100
3112000111112120220000
411003231323323210
542110324121344
62254530541300
7251405304264
oct50355737344
915014476800
105431082724
112337782921
121076a37830
13687263c22
143974377a4
1521bc09a69
hex143b7bee4

5431082724 has 30 divisors (see below), whose sum is σ = 14197923894. Its totient is φ = 1810360800.

The previous prime is 5431082717. The next prime is 5431082729. The reversal of 5431082724 is 4272801345.

It is a happy number.

5431082724 is a `hidden beast` number, since 543 + 10 + 82 + 7 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5246394624 + 184688100 = 72432^2 + 13590^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5431082729) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8380977 + ... + 8381624.

Almost surely, 25431082724 is an apocalyptic number.

5431082724 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5431082724 is an abundant number, since it is smaller than the sum of its proper divisors (8766841170).

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

5431082724 is a wasteful number, since it uses less digits than its factorization.

5431082724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16762617 (or 16762606 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5431082724 is about 73695.8799662505. The cubic root of 5431082724 is about 1757.7703691961.

The spelling of 5431082724 in words is "five billion, four hundred thirty-one million, eighty-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 16762601 33525202 50287803 67050404 100575606 150863409 201151212 301726818 452590227 603453636 905180454 1357770681 1810360908 2715541362 5431082724