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2531790268 = 2273722572
BaseRepresentation
bin1001011011101000…
…0000110110111100
320112110000021022221
42112322000312330
520141114242033
61055121015124
7116511601510
oct22672006674
96473007287
102531790268
11108a147557
125a7a844a4
133146b0267
141a0368140
15ec40a12d
hex96e80dbc

2531790268 has 54 divisors (see below), whose sum is σ = 5224461144. Its totient is φ = 1051619328.

The previous prime is 2531790259. The next prime is 2531790271. The reversal of 2531790268 is 8620971352.

2531790268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25317902682 = 12819923922279023648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9851196 + ... + 9851452.

Almost surely, 22531790268 is an apocalyptic number.

2531790268 is a gapful number since it is divisible by the number (28) 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 2531790268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612230572).

2531790268 is an abundant number, since it is smaller than the sum of its proper divisors (2692670876).

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

2531790268 is an equidigital number, since it uses as much as digits as its factorization.

2531790268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 2531790268 is about 50316.8984338264. The cubic root of 2531790268 is about 1362.9373989224.

The spelling of 2531790268 in words is "two billion, five hundred thirty-one million, seven hundred ninety thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 37 74 148 257 259 514 518 1028 1036 1369 1799 2738 3598 5476 7196 9509 9583 19018 19166 38036 38332 66049 66563 132098 133126 264196 266252 351833 462343 703666 924686 1407332 1849372 2443813 2462831 4887626 4925662 9775252 9851324 17106691 34213382 68426764 90421081 180842162 361684324 632947567 1265895134 2531790268