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422016504 = 233713732647
BaseRepresentation
bin11001001001110…
…111010111111000
31002102002122210220
4121021313113320
51331014012004
6105513140040
713313036550
oct3111672770
91072078726
10422016504
111a7243278
12b93ba620
136957c810
1440096160
15270b1dd9
hex192775f8

422016504 has 128 divisors (see below), whose sum is σ = 1316797440. Its totient is φ = 109734912.

The previous prime is 422016479. The next prime is 422016533. The reversal of 422016504 is 405610224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158109 + ... + 160755.

It is an arithmetic number, because the mean of its divisors is an integer number (10287480).

Almost surely, 2422016504 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 422016504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658398720).

422016504 is an abundant number, since it is smaller than the sum of its proper divisors (894780936).

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

422016504 is a wasteful number, since it uses less digits than its factorization.

422016504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 422016504 is about 20543.0402813216. The cubic root of 422016504 is about 750.0838448486.

Adding to 422016504 its reverse (405610224), we get a palindrome (827626728).

The spelling of 422016504 in words is "four hundred twenty-two million, sixteen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 73 78 84 91 104 146 156 168 182 219 273 292 312 364 438 511 546 584 728 876 949 1022 1092 1533 1752 1898 2044 2184 2647 2847 3066 3796 4088 5294 5694 6132 6643 7592 7941 10588 11388 12264 13286 15882 18529 19929 21176 22776 26572 31764 34411 37058 39858 53144 55587 63528 68822 74116 79716 103233 111174 137644 148232 159432 193231 206466 222348 240877 275288 386462 412932 444696 481754 579693 722631 772924 825864 963508 1159386 1352617 1445262 1545848 1927016 2318772 2512003 2705234 2890524 4057851 4637544 5024006 5410468 5781048 7536009 8115702 10048012 10820936 15072018 16231404 17584021 20096024 30144036 32462808 35168042 52752063 60288072 70336084 105504126 140672168 211008252 422016504