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2655392256 = 29321152387
BaseRepresentation
bin1001111001000110…
…0001001000000000
320212001120220101100
42132101201020000
520414240023011
61115254134400
7122542314246
oct23621411000
96761526340
102655392256
111142999560
12621351400
1333419882a
141b2940796
151081c2d56
hex9e461200

2655392256 has 120 divisors (see below), whose sum is σ = 8360496144. Its totient is φ = 804648960.

The previous prime is 2655392249. The next prime is 2655392263. The reversal of 2655392256 is 6522935562.

2655392256 is a `hidden beast` number, since 2 + 6 + 5 + 5 + 392 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (2655392249) and next prime (2655392263).

It is a super-3 number, since 3×26553922563 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24495 + ... + 76881.

Almost surely, 22655392256 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 2655392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180248072).

2655392256 is an abundant number, since it is smaller than the sum of its proper divisors (5705103888).

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

2655392256 is a wasteful number, since it uses less digits than its factorization.

2655392256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52422 (or 52403 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 2655392256 is about 51530.4983092537. The cubic root of 2655392256 is about 1384.7654780653.

The spelling of 2655392256 in words is "two billion, six hundred fifty-five million, three hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 12672 16896 25344 50688 52387 104774 157161 209548 314322 419096 471483 576257 628644 838192 942966 1152514 1257288 1676384 1728771 1885932 2305028 2514576 3352768 3457542 3771864 4610056 5029152 5186313 6705536 6915084 7543728 9220112 10058304 10372626 13411072 13830168 15087456 18440224 20116608 20745252 26822144 27660336 30174912 36880448 40233216 41490504 55320672 60349824 73760896 80466432 82981008 110641344 120699648 147521792 165962016 221282688 241399296 295043584 331924032 442565376 663848064 885130752 1327696128 2655392256