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3912058080 = 253357218481
BaseRepresentation
bin1110100100101101…
…0100010011100000
3101002122020010211000
43221023110103200
531002441324310
61444104552000
7165641642100
oct35113242340
911078203730
103912058080
111728289157
12912182600
134a4640488
142917c1200
1517d6a34c0
hexe92d44e0

3912058080 has 288 divisors, whose sum is σ = 15928526880. Its totient is φ = 894136320.

The previous prime is 3912058061. The next prime is 3912058081. The reversal of 3912058080 is 808502193.

It is a tau number, because it is divible by the number of its divisors (288).

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 (3912058081) 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, 202440 + ... + 220920.

It is an arithmetic number, because the mean of its divisors is an integer number (55307385).

Almost surely, 23912058080 is an apocalyptic number.

3912058080 is a gapful number since it is divisible by the number (30) 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 3912058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7964263440).

3912058080 is an abundant number, since it is smaller than the sum of its proper divisors (12016468800).

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

3912058080 is a wasteful number, since it uses less digits than its factorization.

3912058080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18519 (or 18498 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3912058080 is about 62546.4473811263. The cubic root of 3912058080 is about 1575.6814828661.

The spelling of 3912058080 in words is "three billion, nine hundred twelve million, fifty-eight thousand, eighty".