[go: up one dir, main page]

Search a number
-
+
49363590 = 2354167599
BaseRepresentation
bin1011110001001…
…1101010000110
310102212221010010
42330103222012
5100114113330
64522011050
71136404113
oct274235206
9112787103
1049363590
1125956661
1214646a86
13a2c4833
1467ad90a
1545013b0
hex2f13a86

49363590 has 64 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 12629760.

The previous prime is 49363571. The next prime is 49363603. The reversal of 49363590 is 9536394.

49363590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82111 + ... + 82709.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 249363590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49363590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

49363590 is an abundant number, since it is smaller than the sum of its proper divisors (74015610).

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

49363590 is a wasteful number, since it uses less digits than its factorization.

49363590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717.

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 49363590 is about 7025.9227152026. The cubic root of 49363590 is about 366.8334346989.

The spelling of 49363590 in words is "forty-nine million, three hundred sixty-three thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 67 82 123 134 201 205 246 335 402 410 599 615 670 1005 1198 1230 1797 2010 2747 2995 3594 5494 5990 8241 8985 13735 16482 17970 24559 27470 40133 41205 49118 73677 80266 82410 120399 122795 147354 200665 240798 245590 368385 401330 601995 736770 1203990 1645453 3290906 4936359 8227265 9872718 16454530 24681795 49363590