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5382725800 = 235231186539
BaseRepresentation
bin1010000001101010…
…11110000010101000
3111220010112210122211
411000311132002220
542010434211200
62250042254504
7250250262064
oct50065360250
914803483584
105382725800
112312454621
1210627b7434
1367a23266a
14390c4aaa4
15217856aba
hex140d5e0a8

5382725800 has 48 divisors (see below), whose sum is σ = 12555223200. Its totient is φ = 2146142400.

The previous prime is 5382725779. The next prime is 5382725801. The reversal of 5382725800 is 85272835.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5382725801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18931 + ... + 105469.

It is an arithmetic number, because the mean of its divisors is an integer number (261567150).

Almost surely, 25382725800 is an apocalyptic number.

5382725800 is a gapful number since it is divisible by the number (50) 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 5382725800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277611600).

5382725800 is an abundant number, since it is smaller than the sum of its proper divisors (7172497400).

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

5382725800 is a wasteful number, since it uses less digits than its factorization.

5382725800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86866 (or 86857 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 5382725800 is about 73367.0620919224. The cubic root of 5382725800 is about 1752.5379013552.

The spelling of 5382725800 in words is "five billion, three hundred eighty-two million, seven hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 311 622 1244 1555 2488 3110 6220 7775 12440 15550 31100 62200 86539 173078 346156 432695 692312 865390 1730780 2163475 3461560 4326950 8653900 17307800 26913629 53827258 107654516 134568145 215309032 269136290 538272580 672840725 1076545160 1345681450 2691362900 5382725800