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2745600252 = 2232356917483
BaseRepresentation
bin1010001110100110…
…1000100011111100
321002100022221111020
42203221220203330
521110333202002
61132235424140
7125016134313
oct24351504374
97070287436
102745600252
11118990211a
126475b5050
13349a91345
141c090327a
151110912bc
hexa3a688fc

2745600252 has 48 divisors (see below), whose sum is σ = 6697071360. Its totient is φ = 873820288.

The previous prime is 2745600251. The next prime is 2745600257. The reversal of 2745600252 is 2520065472.

2745600252 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 (2745600251) 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, 148303 + ... + 165785.

It is an arithmetic number, because the mean of its divisors is an integer number (139522320).

Almost surely, 22745600252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2745600252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348535680).

2745600252 is an abundant number, since it is smaller than the sum of its proper divisors (3951471108).

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

2745600252 is a wasteful number, since it uses less digits than its factorization.

2745600252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18082 (or 18080 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2745600252 is about 52398.4756648512. The cubic root of 2745600252 is about 1400.2720988131.

The spelling of 2745600252 in words is "two billion, seven hundred forty-five million, six hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 569 1138 1707 2276 3414 6828 13087 17483 26174 34966 39261 52348 52449 69932 78522 104898 157044 209796 402109 804218 1206327 1608436 2412654 4825308 9947827 19895654 29843481 39791308 59686962 119373924 228800021 457600042 686400063 915200084 1372800126 2745600252