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2404249100 = 22521114914669
BaseRepresentation
bin1000111101001101…
…1110111000001100
320012120000111201222
42033103132320030
514410441432400
61034323222512
7113402531411
oct21723367014
96176014658
102404249100
111024154a30
12571217a38
132c4145a06
1418b448108
15e1115185
hex8f4dee0c

2404249100 has 72 divisors (see below), whose sum is σ = 5730102000. Its totient is φ = 868345600.

The previous prime is 2404249049. The next prime is 2404249109. The reversal of 2404249100 is 19424042.

It is a self number, because there is not a number n which added to its sum of digits gives 2404249100.

It is not an unprimeable number, because it can be changed into a prime (2404249109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156566 + ... + 171234.

It is an arithmetic number, because the mean of its divisors is an integer number (79584750).

Almost surely, 22404249100 is an apocalyptic number.

2404249100 is a gapful number since it is divisible by the number (20) 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 2404249100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865051000).

2404249100 is an abundant number, since it is smaller than the sum of its proper divisors (3325852900).

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

2404249100 is a wasteful number, since it uses less digits than its factorization.

2404249100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14843 (or 14836 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2404249100 is about 49033.1428729589. The cubic root of 2404249100 is about 1339.6555697519.

The spelling of 2404249100 in words is "two billion, four hundred four million, two hundred forty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 149 220 275 298 550 596 745 1100 1490 1639 2980 3278 3725 6556 7450 8195 14669 14900 16390 29338 32780 40975 58676 73345 81950 146690 161359 163900 293380 322718 366725 645436 733450 806795 1466900 1613590 2185681 3227180 4033975 4371362 8067950 8742724 10928405 16135900 21856810 24042491 43713620 48084982 54642025 96169964 109284050 120212455 218568100 240424910 480849820 601062275 1202124550 2404249100