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2523431040 = 2735131719313
BaseRepresentation
bin1001011001101000…
…1000000010000000
320111212021120121220
42112122020002000
520131444243130
61054221515040
7116350544544
oct22632100200
96455246556
102523431040
1110854580a9
125a5112a80
13312a44480
1419d1cda24
15eb808410
hex96688080

2523431040 has 512 divisors, whose sum is σ = 9685267200. Its totient is φ = 552075264.

The previous prime is 2523431017. The next prime is 2523431047. The reversal of 2523431040 is 401343252.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2523431040.

It is not an unprimeable number, because it can be changed into a prime (2523431047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8061924 + ... + 8062236.

Almost surely, 22523431040 is an apocalyptic number.

2523431040 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 2523431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842633600).

2523431040 is an abundant number, since it is smaller than the sum of its proper divisors (7161836160).

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

2523431040 is a wasteful number, since it uses less digits than its factorization.

2523431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2523431040 is about 50233.7639441840. The cubic root of 2523431040 is about 1361.4357386733.

Adding to 2523431040 its reverse (401343252), we get a palindrome (2924774292).

The spelling of 2523431040 in words is "two billion, five hundred twenty-three million, four hundred thirty-one thousand, forty".