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2556001464 = 233751141811
BaseRepresentation
bin1001100001011001…
…0111110010111000
320121010120022211220
42120112113302320
520213314021324
61101343552040
7120224440212
oct23026276270
96533508756
102556001464
1110a1883805
125b3bbb620
13319709403
141a366b5b2
15ee5ddb79
hex98597cb8

2556001464 has 32 divisors (see below), whose sum is σ = 6398557440. Its totient is φ = 850860000.

The previous prime is 2556001453. The next prime is 2556001499. The reversal of 2556001464 is 4641006552.

2556001464 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52882 + ... + 88929.

It is an arithmetic number, because the mean of its divisors is an integer number (199954920).

Almost surely, 22556001464 is an apocalyptic number.

2556001464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2556001464 is an abundant number, since it is smaller than the sum of its proper divisors (3842555976).

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

2556001464 is a wasteful number, since it uses less digits than its factorization.

2556001464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142571 (or 142567 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2556001464 is about 50556.9131177923. The cubic root of 2556001464 is about 1367.2681569959.

The spelling of 2556001464 in words is "two billion, five hundred fifty-six million, one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 751 1502 2253 3004 4506 6008 9012 18024 141811 283622 425433 567244 850866 1134488 1701732 3403464 106500061 213000122 319500183 426000244 639000366 852000488 1278000732 2556001464