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4292213112 = 2333111806487
BaseRepresentation
bin1111111111010101…
…1111100101111000
3102002010120000111000
43333311133211320
532242301304422
61545525005000
7211236131565
oct37765374570
912063500430
104292213112
11190292a270
129b9553760
13535324095
142ca09b86c
151a1c46cac
hexffd5f978

4292213112 has 64 divisors (see below), whose sum is σ = 13006713600. Its totient is φ = 1300669920.

The previous prime is 4292213071. The next prime is 4292213117. The reversal of 4292213112 is 2113122924.

4292213112 is a `hidden beast` number, since 429 + 221 + 3 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292213117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 900868 + ... + 905619.

It is an arithmetic number, because the mean of its divisors is an integer number (203229900).

Almost surely, 24292213112 is an apocalyptic number.

It is an amenable number.

4292213112 is an abundant number, since it is smaller than the sum of its proper divisors (8714500488).

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

4292213112 is a wasteful number, since it uses less digits than its factorization.

4292213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806513 (or 1806503 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 4292213112 is about 65514.9838739200. The cubic root of 4292213112 is about 1625.1511480077.

The spelling of 4292213112 in words is "four billion, two hundred ninety-two million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 1806487 3612974 5419461 7225948 10838922 14451896 16258383 19871357 21677844 32516766 39742714 43355688 48775149 59614071 65033532 79485428 97550298 119228142 130067064 158970856 178842213 195100596 238456284 357684426 390201192 476912568 536526639 715368852 1073053278 1430737704 2146106556 4292213112