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30872352 = 253726563
BaseRepresentation
bin111010111000…
…1001100100000
32011002110220110
41311301030200
530400403402
63021411320
7523260600
oct165611440
964073813
1030872352
1116476945
12a409b40
13651c084
144158c00
152a9c56c
hex1d71320

30872352 has 72 divisors (see below), whose sum is σ = 94285296. Its totient is φ = 8819328.

The previous prime is 30872333. The next prime is 30872381. The reversal of 30872352 is 25327803.

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 11 ways as a sum of consecutive naturals, for example, 1423 + ... + 7985.

It is an arithmetic number, because the mean of its divisors is an integer number (1309518).

Almost surely, 230872352 is an apocalyptic number.

30872352 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 30872352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47142648).

30872352 is an abundant number, since it is smaller than the sum of its proper divisors (63412944).

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

30872352 is a wasteful number, since it uses less digits than its factorization.

30872352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 30872352 is about 5556.2894093091. The cubic root of 30872352 is about 313.7062989984.

The spelling of 30872352 in words is "thirty million, eight hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 6563 13126 19689 26252 39378 45941 52504 78756 91882 105008 137823 157512 183764 210016 275646 315024 321587 367528 551292 630048 643174 735056 964761 1102584 1286348 1470112 1929522 2205168 2572696 3859044 4410336 5145392 7718088 10290784 15436176 30872352