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2856013056 = 283213177179
BaseRepresentation
bin1010101000111011…
…0100110100000000
321101001002111101100
42222032310310000
521322114404211
61151222134400
7130526465451
oct25216646400
97331074340
102856013056
111236165976
12678581400
1336690c570
141d1445128
1511ab01156
hexaa3b4d00

2856013056 has 432 divisors, whose sum is σ = 9642447360. Its totient is φ = 805109760.

The previous prime is 2856013051. The next prime is 2856013079. The reversal of 2856013056 is 6503106582.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2856013056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2856013051) 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 47 ways as a sum of consecutive naturals, for example, 36152025 + ... + 36152103.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 22856013056 is an apocalyptic number.

2856013056 is a gapful number since it is divisible by the number (26) 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 2856013056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821223680).

2856013056 is an abundant number, since it is smaller than the sum of its proper divisors (6786434304).

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

2856013056 is a wasteful number, since it uses less digits than its factorization.

2856013056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2856013056 is about 53441.6790155399. The cubic root of 2856013056 is about 1418.7963509189.

It can be divided in two parts, 28560 and 13056, that added together give a triangular number (41616 = T288).

The spelling of 2856013056 in words is "two billion, eight hundred fifty-six million, thirteen thousand, fifty-six".