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4825606032 = 24321329103863
BaseRepresentation
bin1000111111010000…
…01110011110010000
3110110022020012000100
410133220032132100
534340323343112
62114501252400
7230403655152
oct43750163620
913408205010
104825606032
112056a24265
12b28104100
135bb99b5b0
1433ac66ad2
151d39a92dc
hex11fa0e790

4825606032 has 240 divisors, whose sum is σ = 15209026560. Its totient is φ = 1418038272.

The previous prime is 4825606031. The next prime is 4825606099. The reversal of 4825606032 is 2306065284.

4825606032 is a `hidden beast` number, since 4 + 8 + 2 + 560 + 60 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4825606031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5591233 + ... + 5592095.

It is an arithmetic number, because the mean of its divisors is an integer number (63370944).

Almost surely, 24825606032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4825606032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604513280).

4825606032 is an abundant number, since it is smaller than the sum of its proper divisors (10383420528).

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

4825606032 is a wasteful number, since it uses less digits than its factorization.

4825606032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4825606032 is about 69466.5821240688. The cubic root of 4825606032 is about 1689.8595908230.

The spelling of 4825606032 in words is "four billion, eight hundred twenty-five million, six hundred six thousand, thirty-two".