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4939164 = 2233192983
BaseRepresentation
bin10010110101110110011100
3100021221021000
4102311312130
52231023124
6253510300
756660616
oct22656634
910257230
104939164
11287395a
1217a2390
13103c1a9
14927db6
156786c9
hex4b5d9c

4939164 has 96 divisors (see below), whose sum is σ = 14112000. Its totient is φ = 1487808.

The previous prime is 4939141. The next prime is 4939169. The reversal of 4939164 is 4619394.

4939164 is a `hidden beast` number, since 493 + 9 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (23328) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4939169) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 59467 + ... + 59549.

It is an arithmetic number, because the mean of its divisors is an integer number (147000).

Almost surely, 24939164 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 4939164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056000).

4939164 is an abundant number, since it is smaller than the sum of its proper divisors (9172836).

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

4939164 is a wasteful number, since it uses less digits than its factorization.

4939164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 4939164 is about 2222.4230020408. The cubic root of 4939164 is about 170.3012421198.

It can be divided in two parts, 49391 and 64, that added together give a triangular number (49455 = T314).

The spelling of 4939164 in words is "four million, nine hundred thirty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 54 57 58 76 83 87 108 114 116 166 171 174 228 249 261 332 342 348 498 513 522 551 684 747 783 996 1026 1044 1102 1494 1566 1577 1653 2052 2204 2241 2407 2988 3132 3154 3306 4482 4731 4814 4959 6308 6612 7221 8964 9462 9628 9918 14193 14442 14877 18924 19836 21663 28386 28884 29754 42579 43326 45733 56772 59508 64989 85158 86652 91466 129978 137199 170316 182932 259956 274398 411597 548796 823194 1234791 1646388 2469582 4939164