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2575087368 = 233731748353
BaseRepresentation
bin1001100101111100…
…1011011100001000
320122110110222210020
42121133023130020
520233210243433
61103305020440
7120545611230
oct23137133410
96573428706
102575087368
11110162a287
125ba484720
1332065c749
141a5dd8cc0
1510110dcb3
hex997cb708

2575087368 has 64 divisors (see below), whose sum is σ = 7380754560. Its totient is φ = 733403136.

The previous prime is 2575087363. The next prime is 2575087399. The reversal of 2575087368 is 8637805752.

2575087368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2575087368.

It is not an unprimeable number, because it can be changed into a prime (2575087363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29080 + ... + 77432.

It is an arithmetic number, because the mean of its divisors is an integer number (115324290).

Almost surely, 22575087368 is an apocalyptic number.

2575087368 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 2575087368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690377280).

2575087368 is an abundant number, since it is smaller than the sum of its proper divisors (4805667192).

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

2575087368 is a wasteful number, since it uses less digits than its factorization.

2575087368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48686 (or 48682 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The square root of 2575087368 is about 50745.3186806428. The cubic root of 2575087368 is about 1370.6628947828.

The spelling of 2575087368 in words is "two billion, five hundred seventy-five million, eighty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 317 634 951 1268 1902 2219 2536 3804 4438 6657 7608 8876 13314 17752 26628 48353 53256 96706 145059 193412 290118 338471 386824 580236 676942 1015413 1160472 1353884 2030826 2707768 4061652 8123304 15327901 30655802 45983703 61311604 91967406 107295307 122623208 183934812 214590614 321885921 367869624 429181228 643771842 858362456 1287543684 2575087368