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4235264 = 2131147
BaseRepresentation
bin10000001010000000000000
321222011200122
4100022000000
52041012024
6230435412
750666465
oct20120000
97864618
104235264
112433020
121502b68
13b53997
147c366c
15589d5e
hex40a000

4235264 has 56 divisors (see below), whose sum is σ = 9436608. Its totient is φ = 1884160.

The previous prime is 4235263. The next prime is 4235281. The reversal of 4235264 is 4625324.

It is a super-2 number, since 2×42352642 = 35874922299392, which contains 22 as substring.

It is a d-powerful number, because it can be written as 46 + 29 + 35 + 55 + 215 + 63 + 411 .

Its product of digits (5760) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (4235263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90089 + ... + 90135.

Almost surely, 24235264 is an apocalyptic number.

4235264 is a gapful number since it is divisible by the number (44) 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 4235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718304).

4235264 is an abundant number, since it is smaller than the sum of its proper divisors (5201344).

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

4235264 is an equidigital number, since it uses as much as digits as its factorization.

4235264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 4235264 is about 2057.9757044241. The cubic root of 4235264 is about 161.7931618247.

The spelling of 4235264 in words is "four million, two hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 512 517 704 752 1024 1034 1408 1504 2048 2068 2816 3008 4096 4136 5632 6016 8192 8272 11264 12032 16544 22528 24064 33088 45056 48128 66176 90112 96256 132352 192512 264704 385024 529408 1058816 2117632 4235264