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4412864 = 26192191
BaseRepresentation
bin10000110101010111000000
322022012022102
4100311113000
52112202424
6234325532
752336331
oct20652700
98265272
104412864
1125444a5
1215898a8
13bb6781
1482c288
155c27ae
hex4355c0

4412864 has 42 divisors (see below), whose sum is σ = 9290304. Its totient is φ = 2079360.

The previous prime is 4412857. The next prime is 4412867. The reversal of 4412864 is 4682144.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412867) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23009 + ... + 23199.

Almost surely, 24412864 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 4412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645152).

4412864 is an abundant number, since it is smaller than the sum of its proper divisors (4877440).

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

4412864 is a wasteful number, since it uses less digits than its factorization.

4412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 212 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 4412864 is about 2100.6817940850. The cubic root of 4412864 is about 164.0237919082.

The spelling of 4412864 in words is "four million, four hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 191 304 361 382 608 722 764 1216 1444 1528 2888 3056 3629 5776 6112 7258 11552 12224 14516 23104 29032 58064 68951 116128 137902 232256 275804 551608 1103216 2206432 4412864