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30309792 = 2531572011
BaseRepresentation
bin111001110011…
…1110110100000
32010000220012220
41303213312200
530224403132
63001351040
7515425512
oct163476640
963026186
1030309792
1116122217
12a198480
136382cb6
14404dbb2
1529daa2c
hex1ce7da0

30309792 has 48 divisors (see below), whose sum is σ = 80109792. Its totient is φ = 10033920.

The previous prime is 30309787. The next prime is 30309821. The reversal of 30309792 is 29790303.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14067 + ... + 16077.

It is an arithmetic number, because the mean of its divisors is an integer number (1668954).

Almost surely, 230309792 is an apocalyptic number.

30309792 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 30309792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40054896).

30309792 is an abundant number, since it is smaller than the sum of its proper divisors (49800000).

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

30309792 is a wasteful number, since it uses less digits than its factorization.

30309792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 30309792 is about 5505.4329530020. The cubic root of 30309792 is about 311.7891408933.

The spelling of 30309792 in words is "thirty million, three hundred nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2011 2512 3768 4022 5024 6033 7536 8044 12066 15072 16088 24132 32176 48264 64352 96528 193056 315727 631454 947181 1262908 1894362 2525816 3788724 5051632 7577448 10103264 15154896 30309792