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2552088756 = 223731736473
BaseRepresentation
bin1001100000011101…
…1100100010110100
320120212012112121210
42120013130202310
520211313320011
61101124041420
7120146253000
oct23007344264
96525175553
102552088756
11109a651068
125b2833270
133189694b9
141a2d2d700
15ee0b96a6
hex981dc8b4

2552088756 has 96 divisors (see below), whose sum is σ = 7353158400. Its totient is φ = 686257152.

The previous prime is 2552088709. The next prime is 2552088757. The reversal of 2552088756 is 6578802552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552088757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51736 + ... + 88208.

It is an arithmetic number, because the mean of its divisors is an integer number (76595400).

Almost surely, 22552088756 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 2552088756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676579200).

2552088756 is an abundant number, since it is smaller than the sum of its proper divisors (4801069644).

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

2552088756 is a wasteful number, since it uses less digits than its factorization.

2552088756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36518 (or 36502 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The square root of 2552088756 is about 50518.2022245448. The cubic root of 2552088756 is about 1366.5701327281.

The spelling of 2552088756 in words is "two billion, five hundred fifty-two million, eighty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 343 357 476 588 686 714 833 1029 1372 1428 1666 2058 2499 3332 4116 4998 5831 9996 11662 17493 23324 34986 36473 69972 72946 109419 145892 218838 255311 437676 510622 620041 765933 1021244 1240082 1531866 1787177 1860123 2480164 3063732 3574354 3720246 4340287 5361531 7148708 7440492 8680574 10723062 12510239 13020861 17361148 21446124 25020478 26041722 30382009 37530717 50040956 52083444 60764018 75061434 91146027 121528036 150122868 182292054 212674063 364584108 425348126 638022189 850696252 1276044378 2552088756