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2404125024 = 253721937727
BaseRepresentation
bin1000111101001100…
…0000100101100000
320012112210012112120
42033103000211200
514410424000044
61034320424240
7113401503600
oct21723004540
96175705476
102404125024
11102407a794
12571178080
132c41013b2
1418b414c00
15e10dd519
hex8f4c0960

2404125024 has 288 divisors, whose sum is σ = 7947313920. Its totient is φ = 632282112.

The previous prime is 2404125019. The next prime is 2404125029. The reversal of 2404125024 is 4205214042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2404125019) and next prime (2404125029).

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 = 2404124985 and 2404125003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404125029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3306549 + ... + 3307275.

It is an arithmetic number, because the mean of its divisors is an integer number (27594840).

Almost surely, 22404125024 is an apocalyptic number.

2404125024 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 2404125024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973656960).

2404125024 is an abundant number, since it is smaller than the sum of its proper divisors (5543188896).

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

2404125024 is a wasteful number, since it uses less digits than its factorization.

2404125024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2404125024 is about 49031.8776307822. The cubic root of 2404125024 is about 1339.6325241692.

Adding to 2404125024 its reverse (4205214042), we get a palindrome (6609339066).

The spelling of 2404125024 in words is "two billion, four hundred four million, one hundred twenty-five thousand, twenty-four".