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4292704 = 251317607
BaseRepresentation
bin10000011000000001100000
322002002111001
4100120001200
52044331304
6232001344
751326113
oct20300140
98062431
104292704
112472199
121530254
13b73b80
147da57a
1559bda4
hex418060

4292704 has 48 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 1861632.

The previous prime is 4292683. The next prime is 4292707. The reversal of 4292704 is 4072924.

It is a d-powerful number, because it can be written as 48 + 23 + 92 + 215 + 7 + 0 + 411 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6769 + ... + 7375.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 24292704 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 4292704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304).

4292704 is an abundant number, since it is smaller than the sum of its proper divisors (5359904).

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

4292704 is a wasteful number, since it uses less digits than its factorization.

4292704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4292704 is about 2071.8841666464. The cubic root of 4292704 is about 162.5213100258.

The spelling of 4292704 in words is "four million, two hundred ninety-two thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 607 884 1214 1768 2428 3536 4856 7072 7891 9712 10319 15782 19424 20638 31564 41276 63128 82552 126256 134147 165104 252512 268294 330208 536588 1073176 2146352 4292704