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4972932288 = 2632103109769
BaseRepresentation
bin1001010000110100…
…01110110011000000
3110211120110010122100
410220122032303000
540141032313123
62141243110400
7234143140602
oct45032166300
913746403570
104972932288
1121220aa6a5
12b69512400
136133724ac
14352657172
151e18ab643
hex12868ecc0

4972932288 has 168 divisors, whose sum is σ = 14543328800. Its totient is φ = 1624375296.

The previous prime is 4972932257. The next prime is 4972932313. The reversal of 4972932288 is 8822392794.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6466368 + ... + 6467136.

Almost surely, 24972932288 is an apocalyptic number.

4972932288 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 4972932288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271664400).

4972932288 is an abundant number, since it is smaller than the sum of its proper divisors (9570396512).

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

4972932288 is a wasteful number, since it uses less digits than its factorization.

4972932288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 986 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 4972932288 is about 70519.0207532691. The cubic root of 4972932288 is about 1706.8846859607.

The spelling of 4972932288 in words is "four billion, nine hundred seventy-two million, nine hundred thirty-two thousand, two hundred eighty-eight".