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40063296 = 2637132293
BaseRepresentation
bin1001100011010…
…1000101000000
32210101102111210
42120311011000
540224011141
63550410120
7664350420
oct230650500
983342453
1040063296
1120684169
1211500940
1383b95c0
14546c480
1537b5916
hex2635140

40063296 has 112 divisors (see below), whose sum is σ = 130519424. Its totient is φ = 10561536.

The previous prime is 40063259. The next prime is 40063307. The reversal of 40063296 is 69236004.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16326 + ... + 18618.

It is an arithmetic number, because the mean of its divisors is an integer number (1165352).

Almost surely, 240063296 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 40063296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65259712).

40063296 is an abundant number, since it is smaller than the sum of its proper divisors (90456128).

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

40063296 is a wasteful number, since it uses less digits than its factorization.

40063296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 40063296 is about 6329.5573304932. The cubic root of 40063296 is about 342.1754853312.

The spelling of 40063296 in words is "forty million, sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2293 2496 2912 4368 4586 5824 6879 8736 9172 13758 16051 17472 18344 27516 29809 32102 36688 48153 55032 59618 64204 73376 89427 96306 110064 119236 128408 146752 178854 192612 208663 220128 238472 256816 357708 385224 417326 440256 476944 513632 625989 715416 770448 834652 953888 1027264 1251978 1430832 1540896 1669304 1907776 2503956 2861664 3081792 3338608 5007912 5723328 6677216 10015824 13354432 20031648 40063296