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482693442 = 237112194999
BaseRepresentation
bin11100110001010…
…101000101000010
31020122021100220220
4130301111011002
51442032142232
6115521443510
714650553340
oct3461250502
91218240826
10482693442
11228516800
121157a0596
137900592a
144816c990
152c59a42c
hex1cc55142

482693442 has 96 divisors (see below), whose sum is σ = 1276800000. Its totient is φ = 118752480.

The previous prime is 482693417. The next prime is 482693489. The reversal of 482693442 is 244396284.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 482693394 and 482693403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94059 + ... + 99057.

It is an arithmetic number, because the mean of its divisors is an integer number (13300000).

Almost surely, 2482693442 is an apocalyptic number.

482693442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 482693442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638400000).

482693442 is an abundant number, since it is smaller than the sum of its proper divisors (794106558).

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

482693442 is a wasteful number, since it uses less digits than its factorization.

482693442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5041 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 482693442 is about 21970.2854328295. The cubic root of 482693442 is about 784.4353070291.

The spelling of 482693442 in words is "four hundred eighty-two million, six hundred ninety-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 121 133 154 209 231 242 266 363 399 418 462 627 726 798 847 1254 1463 1694 2299 2541 2926 4389 4598 4999 5082 6897 8778 9998 13794 14997 16093 29994 32186 34993 48279 54989 69986 94981 96558 104979 109978 164967 189962 209958 284943 329934 384923 569886 604879 664867 769846 1044791 1154769 1209758 1329734 1814637 1994601 2089582 2309538 3134373 3629274 3989202 4234153 6268746 7313537 8468306 11492701 12702459 14627074 21940611 22985402 25404918 34478103 43881222 68956206 80448907 160897814 241346721 482693442