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30192288 = 2537179251
BaseRepresentation
bin111001100101…
…1001010100000
32002210221000220
41303023022200
530212123123
62555043040
7514426110
oct163131240
962727026
1030192288
1116051a05
12a140480
136341679
14401d040
1529b5ce3
hex1ccb2a0

30192288 has 96 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 8544000.

The previous prime is 30192269. The next prime is 30192313. The reversal of 30192288 is 88229103.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 120163 + ... + 120413.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 230192288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30192288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

30192288 is an abundant number, since it is smaller than the sum of its proper divisors (61253472).

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

30192288 is a wasteful number, since it uses less digits than its factorization.

30192288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 30192288 is about 5494.7509497702. The cubic root of 30192288 is about 311.3857078253.

The spelling of 30192288 in words is "thirty million, one hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 179 224 251 336 358 502 537 672 716 753 1004 1074 1253 1432 1506 1757 2008 2148 2506 2864 3012 3514 3759 4016 4296 5012 5271 5728 6024 7028 7518 8032 8592 10024 10542 12048 14056 15036 17184 20048 21084 24096 28112 30072 40096 42168 44929 56224 60144 84336 89858 120288 134787 168672 179716 269574 314503 359432 539148 629006 718864 943509 1078296 1258012 1437728 1887018 2156592 2516024 3774036 4313184 5032048 7548072 10064096 15096144 30192288