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42216804 = 22327233719
BaseRepresentation
bin1010000100001…
…0110101100100
32221102211120100
42201002311210
541301414204
64104504100
71021560030
oct241026544
987384510
1042216804
1121915123
121217b030
138991876
14586d1c0
153a8da39
hex2842d64

42216804 has 72 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 11993472.

The previous prime is 42216791. The next prime is 42216809. The reversal of 42216804 is 40861224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42216809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58357 + ... + 59075.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 242216804 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 42216804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

42216804 is an abundant number, since it is smaller than the sum of its proper divisors (80436636).

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

42216804 is a wasteful number, since it uses less digits than its factorization.

42216804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42216804 is about 6497.4459597599. The cubic root of 42216804 is about 348.1997466029.

It can be divided in two parts, 4221 and 6804, that added together give a square (11025 = 1052).

The spelling of 42216804 in words is "forty-two million, two hundred sixteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 233 252 466 699 719 932 1398 1438 1631 2097 2157 2796 2876 3262 4194 4314 4893 5033 6471 6524 8388 8628 9786 10066 12942 14679 15099 19572 20132 25884 29358 30198 45297 58716 60396 90594 167527 181188 335054 502581 670108 1005162 1172689 1507743 2010324 2345378 3015486 3518067 4690756 6030972 7036134 10554201 14072268 21108402 42216804