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4294296 = 2335472
BaseRepresentation
bin10000011000011010011000
322002011200000
4100120122120
52044404141
6232013000
751333546
oct20303230
98064600
104294296
112473406
121531160
13b74806
147dad96
1559c5b6
hex418698

4294296 has 72 divisors (see below), whose sum is σ = 12323220. Its totient is φ = 1400976.

The previous prime is 4294259. The next prime is 4294313. The reversal of 4294296 is 6924924.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4294296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 91345 + ... + 91391.

Almost surely, 24294296 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 4294296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161610).

4294296 is an abundant number, since it is smaller than the sum of its proper divisors (8028924).

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

4294296 is an equidigital number, since it uses as much as digits as its factorization.

4294296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 52 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 4294296 is about 2072.2683223946. The cubic root of 4294296 is about 162.5413985254.

Multiplying 4294296 by its product of digits (31104), we get a square (133569782784 = 3654722).

The spelling of 4294296 in words is "four million, two hundred ninety-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 243 282 324 376 423 486 564 648 846 972 1128 1269 1692 1944 2209 2538 3384 3807 4418 5076 6627 7614 8836 10152 11421 13254 15228 17672 19881 22842 26508 30456 39762 45684 53016 59643 79524 91368 119286 159048 178929 238572 357858 477144 536787 715716 1073574 1431432 2147148 4294296