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30852756 = 223211174583
BaseRepresentation
bin111010110110…
…0011010010100
32011001111000200
41311230122110
530344242011
63021140500
7523146504
oct165543224
964044020
1030852756
1116463150
12a3ba730
13651318c
144151a04
152a96856
hex1d6c694

30852756 has 72 divisors (see below), whose sum is σ = 90103104. Its totient is φ = 8797440.

The previous prime is 30852737. The next prime is 30852769. The reversal of 30852756 is 65725803.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30852756.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4441 + ... + 9023.

It is an arithmetic number, because the mean of its divisors is an integer number (1251432).

Almost surely, 230852756 is an apocalyptic number.

30852756 is a gapful number since it is divisible by the number (36) 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 30852756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45051552).

30852756 is an abundant number, since it is smaller than the sum of its proper divisors (59250348).

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

30852756 is a wasteful number, since it uses less digits than its factorization.

30852756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 30852756 is about 5554.5257223277. The cubic root of 30852756 is about 313.6399106891.

The spelling of 30852756 in words is "thirty million, eight hundred fifty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 4583 6732 9166 13749 18332 27498 41247 50413 54996 77911 82494 100826 151239 155822 164988 201652 233733 302478 311644 453717 467466 604956 701199 857021 907434 934932 1402398 1714042 1814868 2571063 2804796 3428084 5142126 7713189 10284252 15426378 30852756