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42716052 = 22331372887
BaseRepresentation
bin1010001011110…
…0101110010100
32222101012102000
42202330232110
541413403202
64123315300
71026036411
oct242745624
988335360
1042716052
1122126225
121237bb30
138b07b92
14595d108
153b3b91c
hex28bcb94

42716052 has 48 divisors (see below), whose sum is σ = 111592320. Its totient is φ = 14129856.

The previous prime is 42716041. The next prime is 42716077. The reversal of 42716052 is 25061724.

42716052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×427160522 = 3649322196933408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 13353 + ... + 16239.

It is an arithmetic number, because the mean of its divisors is an integer number (2324840).

Almost surely, 242716052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42716052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55796160).

42716052 is an abundant number, since it is smaller than the sum of its proper divisors (68876268).

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

42716052 is a wasteful number, since it uses less digits than its factorization.

42716052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42716052 is about 6535.7518312739. The cubic root of 42716052 is about 349.5669528568.

Adding to 42716052 its reverse (25061724), we get a palindrome (67777776).

The spelling of 42716052 in words is "forty-two million, seven hundred sixteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 822 1233 1644 2466 2887 3699 4932 5774 7398 8661 11548 14796 17322 25983 34644 51966 77949 103932 155898 311796 395519 791038 1186557 1582076 2373114 3559671 4746228 7119342 10679013 14238684 21358026 42716052