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4805346 = 237132677
BaseRepresentation
bin10010010101001011100010
3100001010200210
4102111023202
52212232341
6250554550
755562520
oct22251342
910033623
104805346
112792367
121738a56
13cc3300
148d1310
1564dc16
hex4952e2

4805346 has 48 divisors (see below), whose sum is σ = 11911104. Its totient is φ = 1265472.

The previous prime is 4805303. The next prime is 4805357. The reversal of 4805346 is 6435084.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6760 + ... + 7436.

It is an arithmetic number, because the mean of its divisors is an integer number (248148).

Almost surely, 24805346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4805346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955552).

4805346 is an abundant number, since it is smaller than the sum of its proper divisors (7105758).

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

4805346 is a wasteful number, since it uses less digits than its factorization.

4805346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4805346 is about 2192.1099424983. The cubic root of 4805346 is about 168.7491347006.

It can be divided in two parts, 480534 and 6, that multiplied together give a square (2883204 = 16982).

The spelling of 4805346 in words is "four million, eight hundred five thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 677 1014 1183 1354 2031 2366 3549 4062 4739 7098 8801 9478 14217 17602 26403 28434 52806 61607 114413 123214 184821 228826 343239 369642 686478 800891 1601782 2402673 4805346