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4952918784 = 283111959523
BaseRepresentation
bin1001001110011011…
…11000101100000000
3110210011210100021110
410213031320230000
540120421400114
62135250123320
7233511054312
oct44715705400
913704710243
104952918784
112111880210
12b62880540
1360c185b98
1434db277b2
151dec56759
hex127378b00

4952918784 has 288 divisors, whose sum is σ = 15423206400. Its totient is φ = 1395118080.

The previous prime is 4952918779. The next prime is 4952918791. The reversal of 4952918784 is 4878192594.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9469947 + ... + 9470469.

It is an arithmetic number, because the mean of its divisors is an integer number (53552800).

Almost surely, 24952918784 is an apocalyptic number.

4952918784 is a gapful number since it is divisible by the number (44) 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 4952918784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711603200).

4952918784 is an abundant number, since it is smaller than the sum of its proper divisors (10470287616).

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

4952918784 is a wasteful number, since it uses less digits than its factorization.

4952918784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 617 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The square root of 4952918784 is about 70376.9762351296. The cubic root of 4952918784 is about 1704.5918286323.

The spelling of 4952918784 in words is "four billion, nine hundred fifty-two million, nine hundred eighteen thousand, seven hundred eighty-four".