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5042294208 = 2632743127229
BaseRepresentation
bin1001011001000101…
…10100110111000000
3111000101222002022100
410230202310313000
540311311403313
62152201510400
7235644536130
oct45442646700
914011862270
105042294208
1121582752a6
12b887a2400
13624849753
1435b950ac0
151e7a0d173
hex12c8b4dc0

5042294208 has 336 divisors, whose sum is σ = 17109114880. Its totient is φ = 1389975552.

The previous prime is 5042294189. The next prime is 5042294291. The reversal of 5042294208 is 8024922405.

5042294208 is a `hidden beast` number, since 5 + 0 + 4 + 229 + 420 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22018638 + ... + 22018866.

Almost surely, 25042294208 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 5042294208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8554557440).

5042294208 is an abundant number, since it is smaller than the sum of its proper divisors (12066820672).

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

5042294208 is a wasteful number, since it uses less digits than its factorization.

5042294208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5042294208 is about 71009.1135559373. The cubic root of 5042294208 is about 1714.7838874069.

The spelling of 5042294208 in words is "five billion, forty-two million, two hundred ninety-four thousand, two hundred eight".