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2556223792 = 242931712503
BaseRepresentation
bin1001100001011100…
…1110000100110000
320121010222121211021
42120113032010300
520213343130132
61101352425224
7120226354333
oct23027160460
96533877737
102556223792
1110a1a15851
125b40a8214
13319786675
141a36c861a
15ee634997
hex985ce130

2556223792 has 80 divisors (see below), whose sum is σ = 5365370880. Its totient is φ = 1176940800.

The previous prime is 2556223781. The next prime is 2556223837. The reversal of 2556223792 is 2973226552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020013 + ... + 1022515.

It is an arithmetic number, because the mean of its divisors is an integer number (67067136).

Almost surely, 22556223792 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 2556223792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682685440).

2556223792 is an abundant number, since it is smaller than the sum of its proper divisors (2809147088).

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

2556223792 is a wasteful number, since it uses less digits than its factorization.

2556223792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2636 counting only the distinct ones).

The product of its digits is 453600, while the sum is 43.

The square root of 2556223792 is about 50559.1118592880. Note that the first 3 decimals coincide. The cubic root of 2556223792 is about 1367.3077987548.

The spelling of 2556223792 in words is "two billion, five hundred fifty-six million, two hundred twenty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 29 31 58 62 71 116 124 142 232 248 284 464 496 568 899 1136 1798 2059 2201 2503 3596 4118 4402 5006 7192 8236 8804 10012 14384 16472 17608 20024 32944 35216 40048 63829 72587 77593 127658 145174 155186 177713 255316 290348 310372 355426 510632 580696 620744 710852 1021264 1161392 1241488 1421704 2250197 2843408 4500394 5153677 5509103 9000788 10307354 11018206 18001576 20614708 22036412 36003152 41229416 44072824 82458832 88145648 159763987 319527974 639055948 1278111896 2556223792