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893020392 = 2332117115881
BaseRepresentation
bin110101001110100…
…110100011101000
32022020101010200100
4311032212203220
53312103123032
6224340305400
731062355665
oct6516464350
92266333610
10893020392
114190a5490
1220b0a2260
13113021844
1486860a6c
15535ed97c
hex353a68e8

893020392 has 96 divisors (see below), whose sum is σ = 2675799360. Its totient is φ = 266784000.

The previous prime is 893020369. The next prime is 893020417. The reversal of 893020392 is 293020398.

893020392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 48292 + ... + 64172.

It is an arithmetic number, because the mean of its divisors is an integer number (27872910).

Almost surely, 2893020392 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 893020392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337899680).

893020392 is an abundant number, since it is smaller than the sum of its proper divisors (1782778968).

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

893020392 is a wasteful number, since it uses less digits than its factorization.

893020392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15975 (or 15968 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 893020392 is about 29883.4467891507. The cubic root of 893020392 is about 962.9870761683.

The spelling of 893020392 in words is "eight hundred ninety-three million, twenty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 88 99 132 142 198 213 264 284 396 426 568 639 781 792 852 1278 1562 1704 2343 2556 3124 4686 5112 6248 7029 9372 14058 15881 18744 28116 31762 47643 56232 63524 95286 127048 142929 174691 190572 285858 349382 381144 524073 571716 698764 1048146 1127551 1143432 1397528 1572219 2096292 2255102 3144438 3382653 4192584 4510204 6288876 6765306 9020408 10147959 12403061 12577752 13530612 20295918 24806122 27061224 37209183 40591836 49612244 74418366 81183672 99224488 111627549 148836732 223255098 297673464 446510196 893020392