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4425407952 = 24374194347
BaseRepresentation
bin1000001111100011…
…00101110111010000
3102102102012000110020
410013301211313100
533030401023302
62011043503440
7214444230000
oct40761456720
912372160406
104425407952
111971033549
12a36087b80
13556abaab4
142dda50000
151ad7a6ebc
hex107c65dd0

4425407952 has 400 divisors, whose sum is σ = 14670965760. Its totient is φ = 1145104128.

The previous prime is 4425407929. The next prime is 4425407963. The reversal of 4425407952 is 2597045244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94157593 + ... + 94157639.

Almost surely, 24425407952 is an apocalyptic number.

4425407952 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 4425407952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335482880).

4425407952 is an abundant number, since it is smaller than the sum of its proper divisors (10245557808).

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

4425407952 is a wasteful number, since it uses less digits than its factorization.

4425407952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 4425407952 is about 66523.7397625840. The cubic root of 4425407952 is about 1641.7906220415.

The spelling of 4425407952 in words is "four billion, four hundred twenty-five million, four hundred seven thousand, nine hundred fifty-two".