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4430931648 = 2631113712273
BaseRepresentation
bin1000010000001101…
…01010011011000000
3102102210120122112120
410020012222123000
533033304303043
62011402124240
7214542204033
oct41006523300
912383518476
104430931648
111974166590
12a37ab0680
13557ca3060
1430068b01a
151adee8983
hex1081aa6c0

4430931648 has 224 divisors, whose sum is σ = 13973202432. Its totient is φ = 1221427200.

The previous prime is 4430931643. The next prime is 4430931653. The reversal of 4430931648 is 8461390344.

It is an interprime number because it is at equal distance from previous prime (4430931643) and next prime (4430931653).

It is not an unprimeable number, because it can be changed into a prime (4430931643) 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 31 ways as a sum of consecutive naturals, for example, 1948240 + ... + 1950512.

It is an arithmetic number, because the mean of its divisors is an integer number (62380368).

Almost surely, 24430931648 is an apocalyptic number.

4430931648 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 4430931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986601216).

4430931648 is an abundant number, since it is smaller than the sum of its proper divisors (9542270784).

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

4430931648 is a wasteful number, since it uses less digits than its factorization.

4430931648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4430931648 is about 66565.2435434589. The cubic root of 4430931648 is about 1642.4734202427.

It can be divided in two parts, 44309 and 31648, that added together give a palindrome (75957).

The spelling of 4430931648 in words is "four billion, four hundred thirty million, nine hundred thirty-one thousand, six hundred forty-eight".