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2878604352 = 2633131271009
BaseRepresentation
bin1010101110010100…
…0000010001000000
321102121121020211000
42223211000101000
521343410314402
61153350252000
7131222506341
oct25345002100
97377536730
102878604352
111247996068
12684057000
1336b4bc2b0
141d44460c8
1511cab4c1c
hexab940440

2878604352 has 224 divisors, whose sum is σ = 9194393600. Its totient is φ = 877879296.

The previous prime is 2878604327. The next prime is 2878604359. The reversal of 2878604352 is 2534068782.

2878604352 is a `hidden beast` number, since 2 + 8 + 7 + 8 + 604 + 35 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2878604298 and 2878604307.

It is not an unprimeable number, because it can be changed into a prime (2878604359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2852424 + ... + 2853432.

It is an arithmetic number, because the mean of its divisors is an integer number (41046400).

Almost surely, 22878604352 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 2878604352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597196800).

2878604352 is an abundant number, since it is smaller than the sum of its proper divisors (6315789248).

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

2878604352 is a wasteful number, since it uses less digits than its factorization.

2878604352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2878604352 is about 53652.6267017748. The cubic root of 2878604352 is about 1422.5274619293.

The spelling of 2878604352 in words is "two billion, eight hundred seventy-eight million, six hundred four thousand, three hundred fifty-two".