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5278082500 = 22547328921
BaseRepresentation
bin1001110101001100…
…10010010111000100
3111121211122101001001
410322212102113010
541302142120000
62231423343044
7244536650425
oct47246222704
914554571031
105278082500
112269381559
121033751a84
13661654552
14380dab64c
1520d58646a
hex13a9925c4

5278082500 has 60 divisors (see below), whose sum is σ = 11700626476. Its totient is φ = 2082240000.

The previous prime is 5278082489. The next prime is 5278082507. The reversal of 5278082500 is 52808725.

It can be written as a sum of positive squares in 10 ways, for example, as 3291775876 + 1986306624 = 57374^2 + 44568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5278082500.

It is not an unprimeable number, because it can be changed into a prime (5278082507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 168040 + ... + 196960.

Almost surely, 25278082500 is an apocalyptic number.

5278082500 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 5278082500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850313238).

5278082500 is an abundant number, since it is smaller than the sum of its proper divisors (6422543976).

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

5278082500 is a wasteful number, since it uses less digits than its factorization.

5278082500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29018 (or 29001 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 5278082500 is about 72650.4129375739. The cubic root of 5278082500 is about 1741.1067187487.

The spelling of 5278082500 in words is "five billion, two hundred seventy-eight million, eighty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 625 730 1250 1460 1825 2500 3650 7300 9125 18250 28921 36500 45625 57842 91250 115684 144605 182500 289210 578420 723025 1446050 2111233 2892100 3615125 4222466 7230250 8444932 10556165 14460500 18075625 21112330 36151250 42224660 52780825 72302500 105561650 211123300 263904125 527808250 1055616500 1319520625 2639041250 5278082500