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4985904 = 2437111971
BaseRepresentation
bin10011000001010000110000
3100101022101010
4103001100300
52234022104
6254510520
760244110
oct23012060
910338333
104985904
1128a5a90
121805440
131057551
1493b040
15687489
hex4c1430

4985904 has 160 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 1209600.

The previous prime is 4985881. The next prime is 4985909. The reversal of 4985904 is 4095894.

It is not an unprimeable number, because it can be changed into a prime (4985909) 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, 70189 + ... + 70259.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 24985904 is an apocalyptic number.

4985904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4985904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

4985904 is an abundant number, since it is smaller than the sum of its proper divisors (12155856).

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

4985904 is a wasteful number, since it uses less digits than its factorization.

4985904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 4985904 is about 2232.9137914393. The cubic root of 4985904 is about 170.8367512833.

The spelling of 4985904 in words is "four million, nine hundred eighty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 71 76 77 84 88 112 114 132 133 142 152 154 168 176 209 213 228 231 264 266 284 304 308 336 399 418 426 456 462 497 528 532 568 616 627 781 798 836 852 912 924 994 1064 1136 1232 1254 1349 1463 1491 1562 1596 1672 1704 1848 1988 2128 2343 2508 2698 2926 2982 3124 3192 3344 3408 3696 3976 4047 4389 4686 5016 5396 5467 5852 5964 6248 6384 7952 8094 8778 9372 9443 10032 10792 10934 11704 11928 12496 14839 16188 16401 17556 18744 18886 21584 21868 23408 23856 28329 29678 32376 32802 35112 37488 37772 43736 44517 56658 59356 64752 65604 70224 75544 87472 89034 103873 113316 118712 131208 151088 178068 207746 226632 237424 262416 311619 356136 415492 453264 623238 712272 830984 1246476 1661968 2492952 4985904