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2638023424 = 2843123909
BaseRepresentation
bin1001110100111101…
…0000101100000000
320210211220110211021
42131033100230000
520400313222144
61113433555224
7122241554251
oct23517205400
96724813737
102638023424
111134106053
12617575b14
133306c6c0a
141b04dcb28
151068e1884
hex9d3d0b00

2638023424 has 36 divisors (see below), whose sum is σ = 5278180320. Its totient is φ = 1315896320.

The previous prime is 2638023413. The next prime is 2638023439. The reversal of 2638023424 is 4243208362.

It is a self number, because there is not a number n which added to its sum of digits gives 2638023424.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 98382 + ... + 122290.

It is an arithmetic number, because the mean of its divisors is an integer number (146616120).

Almost surely, 22638023424 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 2638023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639090160).

2638023424 is an abundant number, since it is smaller than the sum of its proper divisors (2640156896).

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

2638023424 is an equidigital number, since it uses as much as digits as its factorization.

2638023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24356 (or 24342 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 2638023424 is about 51361.6921839614. The cubic root of 2638023424 is about 1381.7396362304.

The spelling of 2638023424 in words is "two billion, six hundred thirty-eight million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 431 862 1724 3448 6896 13792 23909 27584 47818 55168 95636 110336 191272 382544 765088 1530176 3060352 6120704 10304779 20609558 41219116 82438232 164876464 329752928 659505856 1319011712 2638023424