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30255792 = 2437531699
BaseRepresentation
bin111001101101…
…0101010110000
32002221011010220
41303122222300
530221141132
63000253040
7515112210
oct163325260
962834126
1030255792
1116095696
12a171180
136364548
144038240
1529c9a2c
hex1cdaab0

30255792 has 80 divisors (see below), whose sum is σ = 91065600. Its totient is φ = 8476416.

The previous prime is 30255781. The next prime is 30255821. The reversal of 30255792 is 29755203.

It is an unprimeable number.

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, 16959 + ... + 18657.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 230255792 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 30255792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532800).

30255792 is an abundant number, since it is smaller than the sum of its proper divisors (60809808).

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

30255792 is a wasteful number, since it uses less digits than its factorization.

30255792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 30255792 is about 5500.5265202524. The cubic root of 30255792 is about 311.6038693895.

The spelling of 30255792 in words is "thirty million, two hundred fifty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 1699 2226 2544 2968 3398 4452 5097 5936 6796 8904 10194 11893 13592 17808 20388 23786 27184 35679 40776 47572 71358 81552 90047 95144 142716 180094 190288 270141 285432 360188 540282 570864 630329 720376 1080564 1260658 1440752 1890987 2161128 2521316 3781974 4322256 5042632 7563948 10085264 15127896 30255792