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30886656 = 283131307
BaseRepresentation
bin111010111010…
…0101100000000
32011010012112020
41311310230000
530401333111
63022001440
7523350363
oct165645400
964105466
1030886656
1116486669
12a416280
136525738
1441600da
152aa1906
hex1d74b00

30886656 has 72 divisors (see below), whose sum is σ = 83100864. Its totient is φ = 10183680.

The previous prime is 30886613. The next prime is 30886663. The reversal of 30886656 is 65668803.

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 7 ways as a sum of consecutive naturals, for example, 100455 + ... + 100761.

Almost surely, 230886656 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 30886656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41550432).

30886656 is an abundant number, since it is smaller than the sum of its proper divisors (52214208).

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

30886656 is a wasteful number, since it uses less digits than its factorization.

30886656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 30886656 is about 5557.5764502164. The cubic root of 30886656 is about 313.7547410700.

The spelling of 30886656 in words is "thirty million, eight hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 307 384 393 524 614 768 786 921 1048 1228 1572 1842 2096 2456 3144 3684 4192 4912 6288 7368 8384 9824 12576 14736 16768 19648 25152 29472 33536 39296 40217 50304 58944 78592 80434 100608 117888 120651 160868 235776 241302 321736 482604 643472 965208 1286944 1930416 2573888 3860832 5147776 7721664 10295552 15443328 30886656