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2756402048 = 27196191831
BaseRepresentation
bin1010010001001011…
…0101101110000000
321010002122201202202
42210102311232000
521121114331143
61133303132332
7125210013401
oct24422655600
97102581682
102756402048
111194a0a724
1264b1440a8
1334c0a3b3a
141c21159a8
15111ec6ab8
hexa44b5b80

2756402048 has 64 divisors (see below), whose sum is σ = 5792784000. Its totient is φ = 1302842880.

The previous prime is 2756402027. The next prime is 2756402053. The reversal of 2756402048 is 8402046572.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1504493 + ... + 1506323.

It is an arithmetic number, because the mean of its divisors is an integer number (90512250).

Almost surely, 22756402048 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 2756402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896392000).

2756402048 is an abundant number, since it is smaller than the sum of its proper divisors (3036381952).

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

2756402048 is a wasteful number, since it uses less digits than its factorization.

2756402048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 2756402048 is about 52501.4480562203. The cubic root of 2756402048 is about 1402.1060221558.

The spelling of 2756402048 in words is "two billion, seven hundred fifty-six million, four hundred two thousand, forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 619 1216 1238 1831 2432 2476 3662 4952 7324 9904 11761 14648 19808 23522 29296 34789 39616 47044 58592 69578 79232 94088 117184 139156 188176 234368 278312 376352 556624 752704 1113248 1133389 1505408 2226496 2266778 4452992 4533556 9067112 18134224 21534391 36268448 43068782 72536896 86137564 145073792 172275128 344550256 689100512 1378201024 2756402048