Search a number
-
+
5382047232 = 29323731567
BaseRepresentation
bin1010000001100101…
…11000011000000000
3111220002021022211200
411000302320120000
542010301002412
62250015541200
7250241434542
oct50062703000
914802238750
105382047232
112312030821
12106252a800
1367a055843
14390b11692
152177709dc
hex140cb8600

5382047232 has 120 divisors (see below), whose sum is σ = 15953267616. Its totient is φ = 1745473536.

The previous prime is 5382047197. The next prime is 5382047257. The reversal of 5382047232 is 2327402835.

5382047232 is a `hidden beast` number, since 5 + 382 + 0 + 47 + 232 = 666.

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

It is a congruent number.

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, 154713 + ... + 186279.

Almost surely, 25382047232 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 5382047232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7976633808).

5382047232 is an abundant number, since it is smaller than the sum of its proper divisors (10571220384).

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

5382047232 is a wasteful number, since it uses less digits than its factorization.

5382047232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31628 (or 31609 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5382047232 is about 73362.4374731374. The cubic root of 5382047232 is about 1752.4642542751.

The spelling of 5382047232 in words is "five billion, three hundred eighty-two million, forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1152 1184 1332 1536 1776 2304 2368 2664 3552 4608 4736 5328 7104 9472 10656 14208 18944 21312 28416 31567 42624 56832 63134 85248 94701 126268 170496 189402 252536 284103 378804 505072 568206 757608 1010144 1136412 1167979 1515216 2020288 2272824 2335958 3030432 3503937 4040576 4545648 4671916 6060864 7007874 8081152 9091296 9343832 10511811 12121728 14015748 16162304 18182592 18687664 21023622 24243456 28031496 36365184 37375328 42047244 48486912 56062992 72730368 74750656 84094488 112125984 145460736 149501312 168188976 224251968 299002624 336377952 448503936 598005248 672755904 897007872 1345511808 1794015744 2691023616 5382047232