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5040288 = 2532113743
BaseRepresentation
bin10011001110100010100000
3100111001222100
4103032202200
52242242123
6300010400
760561501
oct23164240
910431870
105040288
112932930
121830a00
131076226
14952ba8
15698643
hex4ce8a0

5040288 has 144 divisors (see below), whose sum is σ = 16432416. Its totient is φ = 1451520.

The previous prime is 5040257. The next prime is 5040317. The reversal of 5040288 is 8820405.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117195 + ... + 117237.

It is an arithmetic number, because the mean of its divisors is an integer number (114114).

Almost surely, 25040288 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 5040288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216208).

5040288 is an abundant number, since it is smaller than the sum of its proper divisors (11392128).

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

5040288 is a wasteful number, since it uses less digits than its factorization.

5040288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5040288 is about 2245.0585738461. The cubic root of 5040288 is about 171.4556433436.

The spelling of 5040288 in words is "five million, forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 43 44 48 66 72 74 86 88 96 99 111 129 132 144 148 172 176 198 222 258 264 288 296 333 344 352 387 396 407 444 473 516 528 592 666 688 774 792 814 888 946 1032 1056 1184 1221 1332 1376 1419 1548 1584 1591 1628 1776 1892 2064 2442 2664 2838 3096 3168 3182 3256 3552 3663 3784 4128 4257 4773 4884 5328 5676 6192 6364 6512 7326 7568 8514 9546 9768 10656 11352 12384 12728 13024 14319 14652 15136 17028 17501 19092 19536 22704 25456 28638 29304 34056 35002 38184 39072 45408 50912 52503 57276 58608 68112 70004 76368 105006 114552 117216 136224 140008 152736 157509 210012 229104 280016 315018 420024 458208 560032 630036 840048 1260072 1680096 2520144 5040288