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30079392 = 2537172633
BaseRepresentation
bin111001010111…
…1100110100000
32002121012011120
41302233212200
530200020032
62552412240
7513446010
oct162574640
962535146
1030079392
1115a85102
12a0a7080
136302175
143dcdc40
15299262c
hex1caf9a0

30079392 has 96 divisors (see below), whose sum is σ = 95582592. Its totient is φ = 8085504.

The previous prime is 30079391. The next prime is 30079397. The reversal of 30079392 is 29397003.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (30079391) 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 15 ways as a sum of consecutive naturals, for example, 10108 + ... + 12740.

It is an arithmetic number, because the mean of its divisors is an integer number (995652).

Almost surely, 230079392 is an apocalyptic number.

30079392 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 30079392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47791296).

30079392 is an abundant number, since it is smaller than the sum of its proper divisors (65503200).

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

30079392 is a wasteful number, since it uses less digits than its factorization.

30079392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2662 counting only the distinct ones).

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

The square root of 30079392 is about 5484.4682513440. The cubic root of 30079392 is about 310.9971084949.

The spelling of 30079392 in words is "thirty million, seventy-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2633 2856 3808 5266 5712 7899 10532 11424 15798 18431 21064 31596 36862 42128 44761 55293 63192 73724 84256 89522 110586 126384 134283 147448 179044 221172 252768 268566 294896 313327 358088 442344 537132 589792 626654 716176 884688 939981 1074264 1253308 1432352 1769376 1879962 2148528 2506616 3759924 4297056 5013232 7519848 10026464 15039696 30079392