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2531315400 = 2335241432393
BaseRepresentation
bin1001011011100000…
…1100111011001000
320112102010010221020
42112320030323020
520141004043100
61055102512440
7116504553165
oct22670147310
96472103836
102531315400
1110899527a9
125a7895720
13314575083
141a028306c
15ec3645a0
hex96e0cec8

2531315400 has 192 divisors, whose sum is σ = 8228848320. Its totient is φ = 642969600.

The previous prime is 2531315383. The next prime is 2531315401. The reversal of 2531315400 is 45131352.

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

It is not an unprimeable number, because it can be changed into a prime (2531315401) 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, 1056604 + ... + 1058996.

It is an arithmetic number, because the mean of its divisors is an integer number (42858585).

Almost surely, 22531315400 is an apocalyptic number.

2531315400 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 2531315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114424160).

2531315400 is an abundant number, since it is smaller than the sum of its proper divisors (5697532920).

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

2531315400 is a wasteful number, since it uses less digits than its factorization.

2531315400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2531315400 is about 50312.1794399726. The cubic root of 2531315400 is about 1362.8521817760.

Adding to 2531315400 its reverse (45131352), we get a palindrome (2576446752).

The spelling of 2531315400 in words is "two billion, five hundred thirty-one million, three hundred fifteen thousand, four hundred".