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4229082 = 23211133153
BaseRepresentation
bin10000001000011111011010
321221212012200
4100020133122
52040312312
6230351030
750642454
oct20103732
97855180
104229082
112429410
1214bb476
13b50c20
147c12d4
155880dc
hex4087da

4229082 has 96 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 1123200.

The previous prime is 4229081. The next prime is 4229089. The reversal of 4229082 is 2809224.

It is not an unprimeable number, because it can be changed into a prime (4229081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79768 + ... + 79820.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

Almost surely, 24229082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4229082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

4229082 is an abundant number, since it is smaller than the sum of its proper divisors (7092774).

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

4229082 is a wasteful number, since it uses less digits than its factorization.

4229082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4229082 is about 2056.4731945737. The cubic root of 4229082 is about 161.7144030688.

Subtracting from 4229082 its product of nonzero digits (2304), we obtain a triangular number (4226778 = T2907).

The spelling of 4229082 in words is "four million, two hundred twenty-nine thousand, eighty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 31 33 39 53 62 66 78 93 99 106 117 143 159 186 198 234 279 286 318 341 403 429 477 558 583 682 689 806 858 954 1023 1166 1209 1287 1378 1643 1749 2046 2067 2418 2574 3069 3286 3498 3627 4134 4433 4929 5247 6138 6201 7254 7579 8866 9858 10494 12402 13299 14787 15158 18073 21359 22737 26598 29574 36146 39897 42718 45474 54219 64077 68211 79794 108438 128154 136422 162657 192231 234949 325314 384462 469898 704847 1409694 2114541 4229082