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61311042 = 23213479547
BaseRepresentation
bin1110100111100…
…0100001000010
311021100220221100
43221320201002
5111143423132
610030035230
71343064252
oct351704102
9137326840
1061311042
1131676991
1218648b16
13c918930
1481dd962
1555b137c
hex3a78842

61311042 has 48 divisors (see below), whose sum is σ = 143619840. Its totient is φ = 18791136.

The previous prime is 61311037. The next prime is 61311067. The reversal of 61311042 is 24011316.

It is a happy number.

61311042 is a `hidden beast` number, since 613 + 1 + 10 + 42 = 666.

It is a super-2 number, since 2×613110422 = 7518087742251528, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111813 + ... + 112359.

It is an arithmetic number, because the mean of its divisors is an integer number (2992080).

Almost surely, 261311042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61311042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71809920).

61311042 is an abundant number, since it is smaller than the sum of its proper divisors (82308798).

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

61311042 is a wasteful number, since it uses less digits than its factorization.

61311042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61311042 is about 7830.1367804145. The cubic root of 61311042 is about 394.3176640551.

Adding to 61311042 its reverse (24011316), we get a palindrome (85322358).

The spelling of 61311042 in words is "sixty-one million, three hundred eleven thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 479 547 958 1094 1437 1641 2874 3282 4311 4923 6227 7111 8622 9846 12454 14222 18681 21333 37362 42666 56043 63999 112086 127998 262013 524026 786039 1572078 2358117 3406169 4716234 6812338 10218507 20437014 30655521 61311042