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2423809440 = 253351343159
BaseRepresentation
bin1001000001111000…
…0110010110100000
320020220211021111000
42100132012112200
514430443400230
61040302352000
7114031016553
oct22036062640
96226737430
102423809440
1110341a49a8
1257788b600
132c8203c90
1418dc9a69a
15e2bcab60
hex907865a0

2423809440 has 192 divisors, whose sum is σ = 9136108800. Its totient is φ = 596616192.

The previous prime is 2423809439. The next prime is 2423809447. The reversal of 2423809440 is 449083242.

It is a super-2 number, since 2×24238094402 = 11749704402866227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2423809395 and 2423809404.

It is not an unprimeable number, because it can be changed into a prime (2423809447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34581 + ... + 77739.

It is an arithmetic number, because the mean of its divisors is an integer number (47583900).

Almost surely, 22423809440 is an apocalyptic number.

2423809440 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 2423809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568054400).

2423809440 is an abundant number, since it is smaller than the sum of its proper divisors (6712299360).

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

2423809440 is a wasteful number, since it uses less digits than its factorization.

2423809440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43196 (or 43182 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2423809440 is about 49232.1992196164. The cubic root of 2423809440 is about 1343.2787903537.

It can be divided in two parts, 2423809 and 440, that added together give a square (2424249 = 15572).

The spelling of 2423809440 in words is "two billion, four hundred twenty-three million, eight hundred nine thousand, four hundred forty".