Search a number
-
+
50610042 = 2337231617
BaseRepresentation
bin1100000100001…
…1111101111010
310112020020221000
43001003331322
5100424010132
65004425430
71153115100
oct301037572
9115206830
1050610042
112662808a
1214b48276
13a63cc92
146a15c70
15469a87c
hex3043f7a

50610042 has 96 divisors (see below), whose sum is σ = 135267840. Its totient is φ = 13970880.

The previous prime is 50610029. The next prime is 50610047. The reversal of 50610042 is 24001605.

It is a happy number.

50610042 is a `hidden beast` number, since 50 + 610 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×506100422 = 5122752702483528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 50609997 and 50610024.

It is not an unprimeable number, because it can be changed into a prime (50610047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81718 + ... + 82334.

It is an arithmetic number, because the mean of its divisors is an integer number (1409040).

Almost surely, 250610042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50610042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67633920).

50610042 is an abundant number, since it is smaller than the sum of its proper divisors (84657798).

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

50610042 is a wasteful number, since it uses less digits than its factorization.

50610042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 50610042 is about 7114.0735166289. The cubic root of 50610042 is about 369.8953733876.

Adding to 50610042 its reverse (24001605), we get a palindrome (74611647).

The spelling of 50610042 in words is "fifty million, six hundred ten thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 378 434 441 558 617 651 837 882 1234 1302 1323 1519 1674 1851 1953 2646 3038 3702 3906 4319 4557 5553 5859 8638 9114 11106 11718 12957 13671 16659 19127 25914 27342 30233 33318 38254 38871 41013 57381 60466 77742 82026 90699 114762 116613 133889 172143 181398 233226 267778 272097 344286 401667 516429 544194 803334 816291 937223 1032858 1205001 1632582 1874446 2410002 2811669 3615003 5623338 7230006 8435007 16870014 25305021 50610042