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4490373888 = 283371121359
BaseRepresentation
bin1000010111010010…
…11010101100000000
3102120221102121222000
410023221122230000
533144013431023
62021324144000
7216163356030
oct41351325400
912527377860
104490373888
1119a4776400
12a53998000
135673b6190
143085218c0
151b433b243
hex10ba5ab00

4490373888 has 864 divisors, whose sum is σ = 18268454400. Its totient is φ = 1058365440.

The previous prime is 4490373887. The next prime is 4490373893. The reversal of 4490373888 is 8883730944.

4490373888 is a `hidden beast` number, since 4 + 490 + 3 + 73 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4490373887) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 76108003 + ... + 76108061.

Almost surely, 24490373888 is an apocalyptic number.

4490373888 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 4490373888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9134227200).

4490373888 is an abundant number, since it is smaller than the sum of its proper divisors (13778080512).

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

4490373888 is a wasteful number, since it uses less digits than its factorization.

4490373888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4490373888 is about 67010.2521111509. The cubic root of 4490373888 is about 1649.7855721350.

The spelling of 4490373888 in words is "four billion, four hundred ninety million, three hundred seventy-three thousand, eight hundred eighty-eight".