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4490660944 = 2471119223439
BaseRepresentation
bin1000010111010101…
…00000110001010000
3102120221222012201201
410023222200301100
533144102122234
62021334240544
7216165662650
oct41352406120
912527865651
104490660944
1119a4952040
12a53ab6154
13567486a33
14308598360
151b4396314
hex10baa0c50

4490660944 has 240 divisors, whose sum is σ = 11973519360. Its totient is φ = 1581845760.

The previous prime is 4490660927. The next prime is 4490660981.

4490660944 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44906609442 = 40332071427933942272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 4490660894 and 4490660903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10229077 + ... + 10229515.

It is an arithmetic number, because the mean of its divisors is an integer number (49889664).

Almost surely, 24490660944 is an apocalyptic number.

4490660944 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 4490660944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986759680).

4490660944 is an abundant number, since it is smaller than the sum of its proper divisors (7482858416).

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

4490660944 is a wasteful number, since it uses less digits than its factorization.

4490660944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 4490660944 is about 67012.3939581328. The cubic root of 4490660944 is about 1649.8207266505.

The spelling of 4490660944 in words is "four billion, four hundred ninety million, six hundred sixty thousand, nine hundred forty-four".