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42215628 = 22371367577
BaseRepresentation
bin1010000100001…
…0100011001100
32221102202221210
42201002203030
541301400003
64104454420
71021553430
oct241024314
987382853
1042215628
1121914254
121217a410
138991180
14586c9c0
153a8d503
hex28428cc

42215628 has 96 divisors (see below), whose sum is σ = 123257344. Its totient is φ = 10948608.

The previous prime is 42215617. The next prime is 42215629. The reversal of 42215628 is 82651224.

It is a junction number, because it is equal to n+sod(n) for n = 42215595 and 42215604.

It is not an unprimeable number, because it can be changed into a prime (42215629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72876 + ... + 73452.

Almost surely, 242215628 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 42215628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61628672).

42215628 is an abundant number, since it is smaller than the sum of its proper divisors (81041716).

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

42215628 is a wasteful number, since it uses less digits than its factorization.

42215628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 669 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 42215628 is about 6497.3554620322. The cubic root of 42215628 is about 348.1965133982.

The spelling of 42215628 in words is "forty-two million, two hundred fifteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 67 78 84 91 134 156 182 201 268 273 364 402 469 546 577 804 871 938 1092 1154 1407 1731 1742 1876 2308 2613 2814 3462 3484 4039 5226 5628 6097 6924 7501 8078 10452 12117 12194 15002 16156 18291 22503 24234 24388 30004 36582 38659 45006 48468 52507 73164 77318 90012 105014 115977 154636 157521 210028 231954 270613 315042 463908 502567 541226 630084 811839 1005134 1082452 1507701 1623678 2010268 3015402 3247356 3517969 6030804 7035938 10553907 14071876 21107814 42215628