Search a number
-
+
59798442 = 23112312657
BaseRepresentation
bin1110010000011…
…1001110101010
311011112002001010
43210013032222
5110302022232
65533404350
71324164324
oct344071652
9134462033
1059798442
1130833500
12180396b6
13c5092c2
147d28614
1553b30cc
hex39073aa

59798442 has 48 divisors (see below), whose sum is σ = 135749376. Its totient is φ = 17529600.

The previous prime is 59798441. The next prime is 59798443. The reversal of 59798442 is 24489795.

59798442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59798441) and next prime (59798443).

It is a junction number, because it is equal to n+sod(n) for n = 59798391 and 59798400.

It is not an unprimeable number, because it can be changed into a prime (59798441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21178 + ... + 23834.

It is an arithmetic number, because the mean of its divisors is an integer number (2828112).

Almost surely, 259798442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59798442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67874688).

59798442 is an abundant number, since it is smaller than the sum of its proper divisors (75950934).

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

59798442 is a wasteful number, since it uses less digits than its factorization.

59798442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2704 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 59798442 is about 7732.9452345145. The cubic root of 59798442 is about 391.0478984934.

The spelling of 59798442 in words is "fifty-nine million, seven hundred ninety-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 2657 3751 5314 7502 7971 11253 15942 22506 29227 58454 82367 87681 164734 175362 247101 321497 494202 642994 906037 964491 1812074 1928982 2718111 5436222 9966407 19932814 29899221 59798442