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42482556 = 22341967103
BaseRepresentation
bin1010001000001…
…1101101111100
32221221100010000
42202003231330
541333420211
64114314300
71024044564
oct242035574
987840100
1042482556
1121a86856
1212288990
138a5580c
1458dbda4
153ae2656
hex2883b7c

42482556 has 120 divisors (see below), whose sum is σ = 119799680. Its totient is φ = 13087008.

The previous prime is 42482513. The next prime is 42482563. The reversal of 42482556 is 65528424.

It is a happy number.

42482556 is a `hidden beast` number, since 4 + 24 + 82 + 556 = 666.

42482556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42482556.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 412401 + ... + 412503.

Almost surely, 242482556 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 42482556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59899840).

42482556 is an abundant number, since it is smaller than the sum of its proper divisors (77317124).

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

42482556 is a wasteful number, since it uses less digits than its factorization.

42482556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 42482556 is about 6517.8643741643. The cubic root of 42482556 is about 348.9288503383.

The spelling of 42482556 in words is "forty-two million, four hundred eighty-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 67 76 81 103 108 114 134 162 171 201 206 228 268 309 324 342 402 412 513 603 618 684 804 927 1026 1206 1236 1273 1539 1809 1854 1957 2052 2412 2546 2781 3078 3618 3708 3819 3914 5092 5427 5562 5871 6156 6901 7236 7638 7828 8343 10854 11124 11457 11742 13802 15276 16686 17613 20703 21708 22914 23484 27604 33372 34371 35226 41406 45828 52839 62109 68742 70452 82812 103113 105678 124218 131119 137484 158517 186327 206226 211356 248436 262238 317034 372654 393357 412452 524476 558981 634068 745308 786714 1117962 1180071 1573428 2235924 2360142 3540213 4720284 7080426 10620639 14160852 21241278 42482556