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42052716 = 2233419497
BaseRepresentation
bin1010000001101…
…0110001101100
32221010111111000
42200122301230
541231141331
64101200300
71020304446
oct240326154
987114430
1042052716
1121812912
1212100090
138934c84
145829496
153a5a0e6
hex281ac6c

42052716 has 48 divisors (see below), whose sum is σ = 111696480. Its totient is φ = 13674240.

The previous prime is 42052711. The next prime is 42052721. The reversal of 42052716 is 61725024.

It is an interprime number because it is at equal distance from previous prime (42052711) and next prime (42052721).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42052716.

It is not an unprimeable number, because it can be changed into a prime (42052711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 321 + ... + 9176.

It is an arithmetic number, because the mean of its divisors is an integer number (2327010).

Almost surely, 242052716 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 42052716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55848240).

42052716 is an abundant number, since it is smaller than the sum of its proper divisors (69643764).

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

42052716 is a wasteful number, since it uses less digits than its factorization.

42052716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9551 (or 9543 counting only the distinct ones).

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

The square root of 42052716 is about 6484.8065506999. The cubic root of 42052716 is about 347.7480340196.

The spelling of 42052716 in words is "forty-two million, fifty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 9497 18994 28491 37988 56982 85473 113964 170946 256419 341892 389377 512838 778754 1025676 1168131 1557508 2336262 3504393 4672524 7008786 10513179 14017572 21026358 42052716