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2756248608 = 253233893209
BaseRepresentation
bin1010010001001001…
…0000010000100000
321010002100221021210
42210102100100200
521121044423413
61133255550120
7125205504141
oct24422202040
97102327253
102756248608
111194915413
1264b08b340
1334c04c049
141c20b5ac8
15111e963c3
hexa4490420

2756248608 has 96 divisors (see below), whose sum is σ = 7571491200. Its totient is φ = 876271616.

The previous prime is 2756248603. The next prime is 2756248609. The reversal of 2756248608 is 8068426572.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2756248601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857308 + ... + 860516.

It is an arithmetic number, because the mean of its divisors is an integer number (78869700).

Almost surely, 22756248608 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 2756248608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785745600).

2756248608 is an abundant number, since it is smaller than the sum of its proper divisors (4815242592).

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

2756248608 is a wasteful number, since it uses less digits than its factorization.

2756248608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 2756248608 is about 52499.9867428555. The cubic root of 2756248608 is about 1402.0800047683.

The spelling of 2756248608 in words is "two billion, seven hundred fifty-six million, two hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 389 552 736 778 1104 1167 1556 2208 2334 3112 3209 4668 6224 6418 8947 9336 9627 12448 12836 17894 18672 19254 25672 26841 35788 37344 38508 51344 53682 71576 73807 77016 102688 107364 143152 147614 154032 214728 221421 286304 295228 308064 429456 442842 590456 858912 885684 1180912 1248301 1771368 2361824 2496602 3542736 3744903 4993204 7085472 7489806 9986408 14979612 19972816 28710923 29959224 39945632 57421846 59918448 86132769 114843692 119836896 172265538 229687384 344531076 459374768 689062152 918749536 1378124304 2756248608