Search a number
-
+
49283682 = 23719151409
BaseRepresentation
bin1011110000000…
…0001001100010
310102201212111120
42330000021202
5100104034212
64520153110
71135622130
oct274001142
9112655446
1049283682
1125901618
1214608796
13a297356
14678c750
1544d788c
hex2f00262

49283682 has 64 divisors (see below), whose sum is σ = 119654400. Its totient is φ = 13219200.

The previous prime is 49283677. The next prime is 49283737. The reversal of 49283682 is 28638294.

It is a super-2 number, since 2×492836822 = 4857762622954248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120294 + ... + 120702.

It is an arithmetic number, because the mean of its divisors is an integer number (1869600).

Almost surely, 249283682 is an apocalyptic number.

49283682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 49283682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59827200).

49283682 is an abundant number, since it is smaller than the sum of its proper divisors (70370718).

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

49283682 is a wasteful number, since it uses less digits than its factorization.

49283682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591.

The product of its digits is 165888, while the sum is 42.

The square root of 49283682 is about 7020.2337567919. The cubic root of 49283682 is about 366.6353888839.

The spelling of 49283682 in words is "forty-nine million, two hundred eighty-three thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 151 266 302 399 409 453 798 818 906 1057 1227 2114 2454 2863 2869 3171 5726 5738 6342 7771 8589 8607 15542 17178 17214 20083 23313 40166 46626 54397 60249 61759 108794 120498 123518 163191 185277 326382 370554 432313 864626 1173421 1296939 2346842 2593878 3520263 7040526 8213947 16427894 24641841 49283682