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2531303424 = 213321319139
BaseRepresentation
bin1001011011100000…
…1010000000000000
320112102002112111200
42112320022000000
520141003202144
61055102341200
7116504503236
oct22670120000
96472075450
102531303424
111089944801
125a788a800
1331456c7a0
141a027c956
15ec360c69
hex96e0a000

2531303424 has 336 divisors, whose sum is σ = 8348776800. Its totient is φ = 732561408.

The previous prime is 2531303399. The next prime is 2531303429. The reversal of 2531303424 is 4243031352.

2531303424 is a `hidden beast` number, since 2 + 5 + 313 + 0 + 342 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2531303429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18210747 + ... + 18210885.

It is an arithmetic number, because the mean of its divisors is an integer number (24847550).

Almost surely, 22531303424 is an apocalyptic number.

2531303424 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 2531303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174388400).

2531303424 is an abundant number, since it is smaller than the sum of its proper divisors (5817473376).

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

2531303424 is a wasteful number, since it uses less digits than its factorization.

2531303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2531303424 is about 50312.0604229244. The cubic root of 2531303424 is about 1362.8500324925.

Adding to 2531303424 its reverse (4243031352), we get a palindrome (6774334776).

The spelling of 2531303424 in words is "two billion, five hundred thirty-one million, three hundred three thousand, four hundred twenty-four".