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3828521760 = 253571676823
BaseRepresentation
bin1110010000110010…
…1001101100100000
3100212211001001112020
43210030221230200
530320100144020
61431522301440
7163605620010
oct34414515440
910784031466
103828521760
111695112078
128aa1b7880
134902425bb
14284677c40
151761a1c40
hexe4329b20

3828521760 has 192 divisors, whose sum is σ = 13867241472. Its totient is φ = 869723136.

The previous prime is 3828521759. The next prime is 3828521791. The reversal of 3828521760 is 671258283.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 557709 + ... + 564531.

It is an arithmetic number, because the mean of its divisors is an integer number (72225216).

Almost surely, 23828521760 is an apocalyptic number.

3828521760 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 3828521760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933620736).

3828521760 is an abundant number, since it is smaller than the sum of its proper divisors (10038719712).

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

3828521760 is a wasteful number, since it uses less digits than its factorization.

3828521760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 3828521760 is about 61875.0495757377. The cubic root of 3828521760 is about 1564.3852287679.

The spelling of 3828521760 in words is "three billion, eight hundred twenty-eight million, five hundred twenty-one thousand, seven hundred sixty".