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30895872 = 28372821
BaseRepresentation
bin111010111011…
…0111100000000
32011010200011120
41311312330000
530402131442
63022112240
7523416300
oct165667400
964120146
1030895872
1116492587
12a41b680
1365299a7
144163600
152aa44ec
hex1d76f00

30895872 has 108 divisors (see below), whose sum is σ = 95769576. Its totient is φ = 8816640.

The previous prime is 30895867. The next prime is 30895883. The reversal of 30895872 is 27859803.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 11 ways as a sum of consecutive naturals, for example, 37222 + ... + 38042.

Almost surely, 230895872 is an apocalyptic number.

30895872 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 30895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47884788).

30895872 is an abundant number, since it is smaller than the sum of its proper divisors (64873704).

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

30895872 is an equidigital number, since it uses as much as digits as its factorization.

30895872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 30895872 is about 5558.4055267675. The cubic root of 30895872 is about 313.7859441473.

The spelling of 30895872 in words is "thirty million, eight hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 821 896 1176 1344 1568 1642 1792 2352 2463 2688 3136 3284 4704 4926 5376 5747 6272 6568 9408 9852 11494 12544 13136 17241 18816 19704 22988 26272 34482 37632 39408 40229 45976 52544 68964 78816 80458 91952 105088 120687 137928 157632 160916 183904 210176 241374 275856 315264 321832 367808 482748 551712 630528 643664 735616 965496 1103424 1287328 1471232 1930992 2206848 2574656 3861984 4413696 5149312 7723968 10298624 15447936 30895872