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3812608 = 2853281
BaseRepresentation
bin1110100010110100000000
321011200220201
432202310000
51434000413
6213414544
744256322
oct16426400
97150821
103812608
112174518
12133a454
13a364a7
14713612
155049dd
hex3a2d00

3812608 has 36 divisors (see below), whose sum is σ = 7781508. Its totient is φ = 1863680.

The previous prime is 3812603. The next prime is 3812617. The reversal of 3812608 is 8062183.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 1149184 = 1632^2 + 1072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3812603) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13428 + ... + 13708.

It is an arithmetic number, because the mean of its divisors is an integer number (216153).

Almost surely, 23812608 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 3812608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890754).

3812608 is an abundant number, since it is smaller than the sum of its proper divisors (3968900).

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

3812608 is an equidigital number, since it uses as much as digits as its factorization.

3812608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 3812608 is about 1952.5900747469. The cubic root of 3812608 is about 156.2214693507.

Subtracting from 3812608 its product of nonzero digits (2304), we obtain a square (3810304 = 19522).

The spelling of 3812608 in words is "three million, eight hundred twelve thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 281 424 562 848 1124 1696 2248 3392 4496 6784 8992 13568 14893 17984 29786 35968 59572 71936 119144 238288 476576 953152 1906304 3812608