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63474642 = 232711411117
BaseRepresentation
bin1111001000100…
…0101111010010
311102102211211200
43302020233102
5112222142032
610144252030
71400345160
oct362105722
9142384750
1063474642
1132914490
1219311016
13101c567a
148604230
15588c47c
hex3c88bd2

63474642 has 96 divisors (see below), whose sum is σ = 175803264. Its totient is φ = 16070400.

The previous prime is 63474613. The next prime is 63474659. The reversal of 63474642 is 24647436.

63474642 is a `hidden beast` number, since 6 + 3 + 4 + 7 + 4 + 642 = 666.

63474642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 63474597 and 63474606.

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 47 ways as a sum of consecutive naturals, for example, 56268 + ... + 57384.

It is an arithmetic number, because the mean of its divisors is an integer number (1831284).

Almost surely, 263474642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63474642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87901632).

63474642 is an abundant number, since it is smaller than the sum of its proper divisors (112328622).

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

63474642 is a wasteful number, since it uses less digits than its factorization.

63474642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1181 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 63474642 is about 7967.0974639451. The cubic root of 63474642 is about 398.9024956312.

The spelling of 63474642 in words is "sixty-three million, four hundred seventy-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 41 42 63 66 77 82 99 123 126 154 198 231 246 287 369 451 462 574 693 738 861 902 1117 1353 1386 1722 2234 2583 2706 3157 3351 4059 5166 6314 6702 7819 8118 9471 10053 12287 15638 18942 20106 23457 24574 28413 36861 45797 46914 56826 70371 73722 86009 91594 110583 137391 140742 172018 221166 258027 274782 320579 412173 503767 516054 641158 774081 824346 961737 1007534 1511301 1548162 1923474 2885211 3022602 3526369 4533903 5770422 7052738 9067806 10579107 21158214 31737321 63474642