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2044040424 = 2331710149603
BaseRepresentation
bin111100111010101…
…1001010011101000
312021110020000022220
41321311121103220
513141233243144
6534454514040
7101440025346
oct17165312350
95243200286
102044040424
11959897908
12490665920
13267626c9a
14155680996
15be6b1919
hex79d594e8

2044040424 has 64 divisors (see below), whose sum is σ = 5464376640. Its totient is φ = 634905600.

The previous prime is 2044040423. The next prime is 2044040431. The reversal of 2044040424 is 4240404402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2044040394 and 2044040403.

It is not an unprimeable number, because it can be changed into a prime (2044040423) 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 15 ways as a sum of consecutive naturals, for example, 16407 + ... + 66009.

It is an arithmetic number, because the mean of its divisors is an integer number (85380885).

Almost surely, 22044040424 is an apocalyptic number.

2044040424 is a gapful number since it is divisible by the number (24) 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 2044040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732188320).

2044040424 is an abundant number, since it is smaller than the sum of its proper divisors (3420336216).

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

2044040424 is a wasteful number, since it uses less digits than its factorization.

2044040424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49730 (or 49726 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2044040424 is about 45211.0652827380. The cubic root of 2044040424 is about 1269.1018975394.

Adding to 2044040424 its reverse (4240404402), we get a palindrome (6284444826).

The spelling of 2044040424 in words is "two billion, forty-four million, forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 101 102 136 202 204 303 404 408 606 808 1212 1717 2424 3434 5151 6868 10302 13736 20604 41208 49603 99206 148809 198412 297618 396824 595236 843251 1190472 1686502 2529753 3373004 5009903 5059506 6746008 10019806 10119012 15029709 20039612 20238024 30059418 40079224 60118836 85168351 120237672 170336702 255505053 340673404 511010106 681346808 1022020212 2044040424