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2755093824 = 26347233301
BaseRepresentation
bin1010010000110111…
…0110010101000000
321010000012021020000
42210031312111000
521120301000244
61133215120000
7125162624340
oct24415662500
97100167200
102755093824
1111941a684a
1264a813000
1334ba36542
141c1c94d20
15111d19169
hexa4376540

2755093824 has 280 divisors, whose sum is σ = 9742432128. Its totient is φ = 752716800.

The previous prime is 2755093823. The next prime is 2755093837. The reversal of 2755093824 is 4283905572.

2755093824 is a `hidden beast` number, since 2 + 7 + 550 + 93 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2755093824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755093823) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 832974 + ... + 836274.

Almost surely, 22755093824 is an apocalyptic number.

2755093824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2755093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871216064).

2755093824 is an abundant number, since it is smaller than the sum of its proper divisors (6987338304).

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

2755093824 is a wasteful number, since it uses less digits than its factorization.

2755093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2755093824 is about 52488.9876450289. The cubic root of 2755093824 is about 1401.8841678468.

The spelling of 2755093824 in words is "two billion, seven hundred fifty-five million, ninety-three thousand, eight hundred twenty-four".