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5078304 = 2532711229
BaseRepresentation
bin10011010111110100100000
3100120000010100
4103113310200
52300001204
6300502400
761110360
oct23276440
910500110
105078304
112959450
12184aa00
13108a61a
149629a0
156a4a39
hex4d7d20

5078304 has 144 divisors (see below), whose sum is σ = 18083520. Its totient is φ = 1313280.

The previous prime is 5078279. The next prime is 5078309. The reversal of 5078304 is 4038705.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5078309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22062 + ... + 22290.

It is an arithmetic number, because the mean of its divisors is an integer number (125580).

Almost surely, 25078304 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 5078304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041760).

5078304 is an abundant number, since it is smaller than the sum of its proper divisors (13005216).

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

5078304 is a wasteful number, since it uses less digits than its factorization.

5078304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5078304 is about 2253.5092633491. The cubic root of 5078304 is about 171.8856279489.

The spelling of 5078304 in words is "five million, seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 229 231 252 264 288 308 336 352 396 458 462 504 528 616 672 687 693 792 916 924 1008 1056 1232 1374 1386 1584 1603 1832 1848 2016 2061 2464 2519 2748 2772 3168 3206 3664 3696 4122 4809 5038 5496 5544 6412 7328 7392 7557 8244 9618 10076 10992 11088 12824 14427 15114 16488 17633 19236 20152 21984 22176 22671 25648 28854 30228 32976 35266 38472 40304 45342 51296 52899 57708 60456 65952 70532 76944 80608 90684 105798 115416 120912 141064 153888 158697 181368 211596 230832 241824 282128 317394 362736 423192 461664 564256 634788 725472 846384 1269576 1692768 2539152 5078304