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4290997032 = 233572107421
BaseRepresentation
bin1111111111000011…
…0110101100101000
3102002001021020100000
43333300312230220
532241443401112
61545442543000
7211222605300
oct37760665450
912061236300
104290997032
111902179643
129b9067a60
13534cb96ca
142c9c62600
151a1aa67dc
hexffc36b28

4290997032 has 288 divisors, whose sum is σ = 14184162720. Its totient is φ = 1211656320.

The previous prime is 4290997027. The next prime is 4290997037. The reversal of 4290997032 is 2307990924.

It is an interprime number because it is at equal distance from previous prime (4290997027) and next prime (4290997037).

It is not an unprimeable number, because it can be changed into a prime (4290997037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10192182 + ... + 10192602.

It is an arithmetic number, because the mean of its divisors is an integer number (49250565).

Almost surely, 24290997032 is an apocalyptic number.

4290997032 is a gapful number since it is divisible by the number (42) 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 4290997032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092081360).

4290997032 is an abundant number, since it is smaller than the sum of its proper divisors (9893165688).

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

4290997032 is a wasteful number, since it uses less digits than its factorization.

4290997032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 4290997032 is about 65505.7022861369. The cubic root of 4290997032 is about 1624.9976529512.

The spelling of 4290997032 in words is "four billion, two hundred ninety million, nine hundred ninety-seven thousand, thirty-two".