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2531145880 = 235241262567
BaseRepresentation
bin1001011011011110…
…0011100010011000
320112101210112101201
42112313203202120
520140433132010
61055055123544
7116503246024
oct22667434230
96471715351
102531145880
1110898473aa
125a78135b4
13314515b73
141a023b384
15ec32e23a
hex96de3898

2531145880 has 32 divisors (see below), whose sum is σ = 5718731040. Its totient is φ = 1008253440.

The previous prime is 2531145847. The next prime is 2531145887. The reversal of 2531145880 is 885411352.

2531145880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531145887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121644 + ... + 140923.

It is an arithmetic number, because the mean of its divisors is an integer number (178710345).

Almost surely, 22531145880 is an apocalyptic number.

2531145880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2531145880 is an abundant number, since it is smaller than the sum of its proper divisors (3187585160).

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

2531145880 is a wasteful number, since it uses less digits than its factorization.

2531145880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262819 (or 262815 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 2531145880 is about 50310.4947302250. The cubic root of 2531145880 is about 1362.8217580868.

The spelling of 2531145880 in words is "two billion, five hundred thirty-one million, one hundred forty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1205 1928 2410 4820 9640 262567 525134 1050268 1312835 2100536 2625670 5251340 10502680 63278647 126557294 253114588 316393235 506229176 632786470 1265572940 2531145880