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42216576 = 2731729223
BaseRepresentation
bin1010000100001…
…0110010000000
32221102211020220
42201002302000
541301412301
64104503040
71021556253
oct241026200
987384226
1042216576
1121914a36
121217aa80
13899172c
14586d09a
153a8d936
hex2842c80

42216576 has 128 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 12730368.

The previous prime is 42216541. The next prime is 42216589. The reversal of 42216576 is 67561224.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189201 + ... + 189423.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 242216576 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 42216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

42216576 is an abundant number, since it is smaller than the sum of its proper divisors (81162624).

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

42216576 is a wasteful number, since it uses less digits than its factorization.

42216576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 42216576 is about 6497.4284143806. The cubic root of 42216576 is about 348.1991197618.

The spelling of 42216576 in words is "forty-two million, two hundred sixteen thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 223 232 272 348 384 408 446 464 493 544 669 696 816 892 928 986 1088 1338 1392 1479 1632 1784 1856 1972 2176 2676 2784 2958 3264 3568 3712 3791 3944 5352 5568 5916 6467 6528 7136 7582 7888 10704 11136 11373 11832 12934 14272 15164 15776 19401 21408 22746 23664 25868 28544 30328 31552 38802 42816 45492 47328 51736 60656 63104 77604 85632 90984 94656 103472 109939 121312 155208 181968 189312 206944 219878 242624 310416 329817 363936 413888 439756 485248 620832 659634 727872 827776 879512 1241664 1319268 1455744 1759024 2483328 2638536 3518048 5277072 7036096 10554144 14072192 21108288 42216576