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42216860 = 22571959269
BaseRepresentation
bin1010000100001…
…0110110011100
32221102211122102
42201002312130
541301414420
64104504232
71021560140
oct241026634
987384572
1042216860
1121915174
121217b078
1389918ba
14586d220
153a8da75
hex2842d9c

42216860 has 96 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 13430016.

The previous prime is 42216851. The next prime is 42216869. The reversal of 42216860 is 6861224.

It is an interprime number because it is at equal distance from previous prime (42216851) and next prime (42216869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42216869) 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 31 ways as a sum of consecutive naturals, for example, 156806 + ... + 157074.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 242216860 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 42216860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

42216860 is an abundant number, since it is smaller than the sum of its proper divisors (66647140).

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

42216860 is a wasteful number, since it uses less digits than its factorization.

42216860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 42216860 is about 6497.4502691440. The cubic root of 42216860 is about 348.1999005635.

The spelling of 42216860 in words is "forty-two million, two hundred sixteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 59 70 76 95 118 133 140 190 236 266 269 295 380 413 532 538 590 665 826 1076 1121 1180 1330 1345 1652 1883 2065 2242 2660 2690 3766 4130 4484 5111 5380 5605 7532 7847 8260 9415 10222 11210 15694 15871 18830 20444 22420 25555 31388 31742 35777 37660 39235 51110 63484 71554 78470 79355 102220 111097 143108 156940 158710 178885 222194 301549 317420 357770 444388 555485 603098 715540 1110970 1206196 1507745 2110843 2221940 3015490 4221686 6030980 8443372 10554215 21108430 42216860