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4309929792 = 2632710191049
BaseRepresentation
bin1000000001110010…
…00100111101000000
3102010100220010012100
410000321010331000
532311320223132
61551400430400
7211542540660
oct40071047500
912110803170
104309929792
111911930053
12a03478400
13538bb811c
142cc5901a0
151a359637c
hex100e44f40

4309929792 has 168 divisors, whose sum is σ = 14145768000. Its totient is φ = 1229027328.

The previous prime is 4309929791. The next prime is 4309929839. The reversal of 4309929792 is 2979299034.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4309929791) 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 23 ways as a sum of consecutive naturals, for example, 4108084 + ... + 4109132.

It is an arithmetic number, because the mean of its divisors is an integer number (84201000).

Almost surely, 24309929792 is an apocalyptic number.

4309929792 is a gapful number since it is divisible by the number (42) 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 4309929792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072884000).

4309929792 is an abundant number, since it is smaller than the sum of its proper divisors (9835838208).

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

4309929792 is a wasteful number, since it uses less digits than its factorization.

4309929792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 4309929792 is about 65650.0555369148. The cubic root of 4309929792 is about 1627.3840876766.

The spelling of 4309929792 in words is "four billion, three hundred nine million, nine hundred twenty-nine thousand, seven hundred ninety-two".