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42459228 = 2234797193
BaseRepresentation
bin1010000111111…
…0000001011100
32221220011010000
42201332001130
541332143403
64114014300
71023616560
oct241760134
987804100
1042459228
1121a70279
1212277390
138a48006
1458d36a0
153ada7a3
hex287e05c

42459228 has 120 divisors (see below), whose sum is σ = 128825312. Its totient is φ = 11943936.

The previous prime is 42459211. The next prime is 42459247. The reversal of 42459228 is 82295424.

42459228 is a `hidden beast` number, since 42 + 4 + 592 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42459192 and 42459201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219900 + ... + 220092.

Almost surely, 242459228 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 42459228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64412656).

42459228 is an abundant number, since it is smaller than the sum of its proper divisors (86366084).

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

42459228 is a wasteful number, since it uses less digits than its factorization.

42459228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42459228 is about 6516.0745852085. The cubic root of 42459228 is about 348.8649707655.

The spelling of 42459228 in words is "forty-two million, four hundred fifty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 97 108 126 162 189 193 194 252 291 324 378 386 388 567 579 582 679 756 772 873 1134 1158 1164 1351 1358 1737 1746 2037 2268 2316 2619 2702 2716 3474 3492 4053 4074 5211 5238 5404 6111 6948 7857 8106 8148 10422 10476 12159 12222 15633 15714 16212 18333 18721 20844 24318 24444 31266 31428 36477 36666 37442 48636 54999 56163 62532 72954 73332 74884 109431 109998 112326 131047 145908 168489 218862 219996 224652 262094 336978 393141 437724 505467 524188 673956 786282 1010934 1179423 1516401 1572564 2021868 2358846 3032802 3538269 4717692 6065604 7076538 10614807 14153076 21229614 42459228