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4308049152 = 283411217101
BaseRepresentation
bin1000000001100011…
…11001110100000000
3102010020100120110000
410000301321310000
532310330033102
61551252240000
7211520546031
oct40061716400
912106316400
104308049152
111910866100
12a02910000
135386aa114
142cc220a88
151a332401c
hex100c79d00

4308049152 has 540 divisors, whose sum is σ = 15098388228. Its totient is φ = 1216512000.

The previous prime is 4308049117. The next prime is 4308049159. The reversal of 4308049152 is 2519408034.

4308049152 is a `hidden beast` number, since 43 + 0 + 80 + 491 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3816274176 + 491774976 = 61776^2 + 22176^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4308049159) 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 59 ways as a sum of consecutive naturals, for example, 42653902 + ... + 42654002.

Almost surely, 24308049152 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 4308049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549194114).

4308049152 is an abundant number, since it is smaller than the sum of its proper divisors (10790339076).

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

4308049152 is a wasteful number, since it uses less digits than its factorization.

4308049152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4308049152 is about 65635.7307569589. The cubic root of 4308049152 is about 1627.1473499554.

The spelling of 4308049152 in words is "four billion, three hundred eight million, forty-nine thousand, one hundred fifty-two".