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4739125248 = 2123211132931
BaseRepresentation
bin1000110100111100…
…10101000000000000
3110020021111111200100
410122132111000000
534201204001443
62102131522400
7225303620454
oct43236250000
913207444610
104739125248
112012126a40
12b03159400
135a6aac430
1432d594664
151cb0c53d3
hex11a795000

4739125248 has 624 divisors, whose sum is σ = 17173578240. Its totient is φ = 1238630400.

The previous prime is 4739125247. The next prime is 4739125249. The reversal of 4739125248 is 8425219374.

4739125248 is a `hidden beast` number, since 4 + 7 + 391 + 252 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4739125247) and next prime (4739125249).

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4739125247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152874993 + ... + 152875023.

It is an arithmetic number, because the mean of its divisors is an integer number (27521760).

Almost surely, 24739125248 is an apocalyptic number.

4739125248 is a gapful number since it is divisible by the number (48) 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 4739125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8586789120).

4739125248 is an abundant number, since it is smaller than the sum of its proper divisors (12434452992).

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

4739125248 is a wasteful number, since it uses less digits than its factorization.

4739125248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4739125248 is about 68841.3048104116. The cubic root of 4739125248 is about 1679.7038933913.

The spelling of 4739125248 in words is "four billion, seven hundred thirty-nine million, one hundred twenty-five thousand, two hundred forty-eight".