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4985604 = 2233135367
BaseRepresentation
bin10011000001001100000100
3100101021222000
4103001030010
52234014404
6254505300
760243201
oct23011404
910337860
104985604
1128a5838
121805230
131057380
1493aca8
15687339
hex4c1304

4985604 has 96 divisors (see below), whose sum is σ = 14394240. Its totient is φ = 1482624.

The previous prime is 4985599. The next prime is 4985609. The reversal of 4985604 is 4065894.

4985604 is a `hidden beast` number, since 4 + 98 + 560 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4985599) and next prime (4985609).

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

It is not an unprimeable number, because it can be changed into a prime (4985609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74379 + ... + 74445.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

Almost surely, 24985604 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 4985604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120).

4985604 is an abundant number, since it is smaller than the sum of its proper divisors (9408636).

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

4985604 is a wasteful number, since it uses less digits than its factorization.

4985604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4985604 is about 2232.8466136302. The cubic root of 4985604 is about 170.8333248199.

The spelling of 4985604 in words is "four million, nine hundred eighty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 67 78 106 108 117 134 156 159 201 212 234 268 318 351 402 468 477 603 636 689 702 804 871 954 1206 1378 1404 1431 1742 1809 1908 2067 2412 2613 2756 2862 3484 3551 3618 4134 5226 5724 6201 7102 7236 7839 8268 10452 10653 12402 14204 15678 18603 21306 23517 24804 31356 31959 37206 42612 46163 47034 63918 74412 92326 94068 95877 127836 138489 184652 191754 276978 383508 415467 553956 830934 1246401 1661868 2492802 4985604