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939930048 = 26331274283
BaseRepresentation
bin111000000001100…
…011000111000000
32102111122101122000
4320001203013000
53411110230143
6233133544000
732202162561
oct7001430700
92374571560
10939930048
114426253a2
12222945000
1311c967435
148cb92168
15577b7bd3
hex380631c0

939930048 has 112 divisors (see below), whose sum is σ = 2785628160. Its totient is φ = 310770432.

The previous prime is 939930031. The next prime is 939930113. The reversal of 939930048 is 840039939.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 939929985 and 939930012.

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, 217315 + ... + 221597.

It is an arithmetic number, because the mean of its divisors is an integer number (24871680).

Almost surely, 2939930048 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 939930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392814080).

939930048 is an abundant number, since it is smaller than the sum of its proper divisors (1845698112).

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

939930048 is a wasteful number, since it uses less digits than its factorization.

939930048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 939930048 is about 30658.2786209533. The cubic root of 939930048 is about 979.5618088193.

The spelling of 939930048 in words is "nine hundred thirty-nine million, nine hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 144 192 216 254 288 381 432 508 576 762 864 1016 1143 1524 1728 2032 2286 3048 3429 4064 4283 4572 6096 6858 8128 8566 9144 12192 12849 13716 17132 18288 24384 25698 27432 34264 36576 38547 51396 54864 68528 73152 77094 102792 109728 115641 137056 154188 205584 219456 231282 274112 308376 411168 462564 543941 616752 822336 925128 1087882 1233504 1631823 1850256 2175764 2467008 3263646 3700512 4351528 4895469 6527292 7401024 8703056 9790938 13054584 14686407 17406112 19581876 26109168 29372814 34812224 39163752 52218336 58745628 78327504 104436672 117491256 156655008 234982512 313310016 469965024 939930048