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4405264 = 241943337
BaseRepresentation
bin10000110011100000010000
322021210212221
4100303200100
52111432024
6234230424
752305223
oct20634020
98253787
104405264
112539816
121585414
13bb3186
148295ba
155c03e4
hex433810

4405264 has 40 divisors (see below), whose sum is σ = 9220640. Its totient is φ = 2032128.

The previous prime is 4405253. The next prime is 4405267. The reversal of 4405264 is 4625044.

It is not an unprimeable number, because it can be changed into a prime (4405267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12904 + ... + 13240.

It is an arithmetic number, because the mean of its divisors is an integer number (230516).

Almost surely, 24405264 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 4405264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610320).

4405264 is an abundant number, since it is smaller than the sum of its proper divisors (4815376).

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

4405264 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (4405263) it forms an eRAP, since the sums of their prime factors are consecutive (406 and 407).

4405264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4405264 is about 2098.8720780457. The cubic root of 4405264 is about 163.9295751561.

The spelling of 4405264 in words is "four million, four hundred five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 337 344 674 688 817 1348 1634 2696 3268 5392 6403 6536 12806 13072 14491 25612 28982 51224 57964 102448 115928 231856 275329 550658 1101316 2202632 4405264