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4993296 = 2437211193
BaseRepresentation
bin10011000011000100010000
3100101200111220
4103003010100
52234241141
6255005040
760304500
oct23030420
910350456
104993296
1129005a0
121809780
13105aa19
1493da00
15689766
hex4c3110

4993296 has 120 divisors (see below), whose sum is σ = 16454304. Its totient is φ = 1290240.

The previous prime is 4993283. The next prime is 4993321. The reversal of 4993296 is 6923994.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (104976) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25776 + ... + 25968.

Almost surely, 24993296 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 4993296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8227152).

4993296 is an abundant number, since it is smaller than the sum of its proper divisors (11461008).

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

4993296 is a wasteful number, since it uses less digits than its factorization.

4993296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 4993296 is about 2234.5684147056. The cubic root of 4993296 is about 170.9211359606.

The spelling of 4993296 in words is "four million, nine hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 193 196 231 264 294 308 336 386 392 462 528 539 579 588 616 772 784 924 1078 1158 1176 1232 1351 1544 1617 1848 2123 2156 2316 2352 2702 3088 3234 3696 4053 4246 4312 4632 5404 6369 6468 8106 8492 8624 9264 9457 10808 12738 12936 14861 16212 16984 18914 21616 25476 25872 28371 29722 32424 33968 37828 44583 50952 56742 59444 64848 75656 89166 101904 104027 113484 118888 151312 178332 208054 226968 237776 312081 356664 416108 453936 624162 713328 832216 1248324 1664432 2496648 4993296