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30556064 = 2571112401
BaseRepresentation
bin111010010001…
…1111110100000
32010111102001002
41310203332200
530310243224
63010531132
7520502510
oct164437640
963442032
1030556064
1116280250
12a296aa8
13643b116
1440b5840
152a389ae
hex1d23fa0

30556064 has 48 divisors (see below), whose sum is σ = 75007296. Its totient is φ = 11904000.

The previous prime is 30555977. The next prime is 30556081. The reversal of 30556064 is 46065503.

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 7 ways as a sum of consecutive naturals, for example, 3737 + ... + 8664.

It is an arithmetic number, because the mean of its divisors is an integer number (1562652).

Almost surely, 230556064 is an apocalyptic number.

It is an amenable number.

30556064 is an abundant number, since it is smaller than the sum of its proper divisors (44451232).

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

30556064 is a wasteful number, since it uses less digits than its factorization.

30556064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12429 (or 12421 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 30556064 is about 5527.7539742648. The cubic root of 30556064 is about 312.6313099369.

It can be divided in two parts, 3055 and 6064, that added together give a palindrome (9119).

The spelling of 30556064 in words is "thirty million, five hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 12401 24802 49604 86807 99208 136411 173614 198416 272822 347228 396832 545644 694456 954877 1091288 1388912 1909754 2182576 2777824 3819508 4365152 7639016 15278032 30556064