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3720941952 = 27371328191
BaseRepresentation
bin1101110111001001…
…0001000110000000
3100121022121102202220
43131302101012000
530110030120302
61413120411040
7161131325160
oct33562210600
910538542686
103720941952
11163a413842
1287a176a80
13473b76a00
142742725a0
1516ba014bc
hexddc91180

3720941952 has 192 divisors, whose sum is σ = 12232949760. Its totient is φ = 981227520.

The previous prime is 3720941951. The next prime is 3720941977. The reversal of 3720941952 is 2591490273.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3720941951) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 450177 + ... + 458367.

It is an arithmetic number, because the mean of its divisors is an integer number (63713280).

Almost surely, 23720941952 is an apocalyptic number.

3720941952 is a gapful number since it is divisible by the number (32) 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 3720941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116474880).

3720941952 is an abundant number, since it is smaller than the sum of its proper divisors (8512007808).

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

3720941952 is a wasteful number, since it uses less digits than its factorization.

3720941952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 3720941952 is about 60999.5241948657. The cubic root of 3720941952 is about 1549.5929492345.

The spelling of 3720941952 in words is "three billion, seven hundred twenty million, nine hundred forty-one thousand, nine hundred fifty-two".