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30886272 = 2736331
BaseRepresentation
bin111010111010…
…0100110000000
32011010012000000
41311310212000
530401330042
63022000000
7523346304
oct165644600
964105000
1030886272
111648634a
12a416000
136525501
14415dd04
152aa174c
hex1d74980

30886272 has 112 divisors (see below), whose sum is σ = 92533380. Its totient is φ = 10264320.

The previous prime is 30886249. The next prime is 30886279. The reversal of 30886272 is 27268803.

It is a happy number.

30886272 is a `hidden beast` number, since 308 + 86 + 272 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30886279) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 93147 + ... + 93477.

Almost surely, 230886272 is an apocalyptic number.

30886272 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 30886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46266690).

30886272 is an abundant number, since it is smaller than the sum of its proper divisors (61647108).

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

30886272 is an frugal number, since it uses more digits than its factorization.

30886272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 30886272 is about 5557.5419026760. The cubic root of 30886272 is about 313.7534408071.

The spelling of 30886272 in words is "thirty million, eight hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 331 384 432 486 576 648 662 729 864 972 993 1152 1296 1324 1458 1728 1944 1986 2592 2648 2916 2979 3456 3888 3972 5184 5296 5832 5958 7776 7944 8937 10368 10592 11664 11916 15552 15888 17874 21184 23328 23832 26811 31104 31776 35748 42368 46656 47664 53622 63552 71496 80433 93312 95328 107244 127104 142992 160866 190656 214488 241299 285984 321732 381312 428976 482598 571968 643464 857952 965196 1143936 1286928 1715904 1930392 2573856 3431808 3860784 5147712 7721568 10295424 15443136 30886272