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2531345424 = 2431731100069
BaseRepresentation
bin1001011011100001…
…0100010000010000
320112102011200010020
42112320110100100
520141011023144
61055103303440
7116505036546
oct22670242020
96472150106
102531345424
111089973313
125a78aab80
1331458593a
141a028dd96
15ec36d419
hex96e14410

2531345424 has 80 divisors (see below), whose sum is σ = 7147399680. Its totient is φ = 768522240.

The previous prime is 2531345423. The next prime is 2531345447. The reversal of 2531345424 is 4245431352.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2531345423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24739 + ... + 75330.

It is an arithmetic number, because the mean of its divisors is an integer number (89342496).

Almost surely, 22531345424 is an apocalyptic number.

2531345424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2531345424 is an abundant number, since it is smaller than the sum of its proper divisors (4616054256).

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

2531345424 is a wasteful number, since it uses less digits than its factorization.

2531345424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100128 (or 100122 counting only the distinct ones).

The product of its digits is 57600, while the sum is 33.

The square root of 2531345424 is about 50312.4778161442. The cubic root of 2531345424 is about 1362.8575700302.

Adding to 2531345424 its reverse (4245431352), we get a palindrome (6776776776).

The spelling of 2531345424 in words is "two billion, five hundred thirty-one million, three hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1488 1581 2108 3162 4216 6324 8432 12648 25296 100069 200138 300207 400276 600414 800552 1200828 1601104 1701173 2401656 3102139 3402346 4803312 5103519 6204278 6804692 9306417 10207038 12408556 13609384 18612834 20414076 24817112 27218768 37225668 40828152 49634224 52736363 74451336 81656304 105472726 148902672 158209089 210945452 316418178 421890904 632836356 843781808 1265672712 2531345424