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993059284 = 227217491607
BaseRepresentation
bin111011001100001…
…110000111010100
32120012121122020111
4323030032013110
54013210344114
6242312412404
733415602400
oct7314160724
92505548214
10993059284
1146a613158
122386a7104
1312a979c59
1495c62100
155c2aebc4
hex3b30e1d4

993059284 has 72 divisors (see below), whose sum is σ = 2148394752. Its totient is φ = 399087360.

The previous prime is 993059279. The next prime is 993059303. The reversal of 993059284 is 482950399.

993059284 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 (49).

It is a congruent number.

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, 1635709 + ... + 1636315.

It is an arithmetic number, because the mean of its divisors is an integer number (29838816).

Almost surely, 2993059284 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 993059284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074197376).

993059284 is an abundant number, since it is smaller than the sum of its proper divisors (1155335468).

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

993059284 is a wasteful number, since it uses less digits than its factorization.

993059284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The square root of 993059284 is about 31512.8431595754. The cubic root of 993059284 is about 997.6810546492.

The spelling of 993059284 in words is "nine hundred ninety-three million, fifty-nine thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 491 607 833 982 1214 1666 1964 2428 3332 3437 4249 6874 8347 8498 10319 13748 16694 16996 20638 24059 29743 33388 41276 48118 58429 59486 72233 96236 116858 118972 144466 233716 288932 298037 409003 505631 596074 818006 1011262 1192148 1636012 2022524 2086259 4172518 5066629 8345036 10133258 14603813 20266516 29207626 35466403 58415252 70932806 141865612 248264821 496529642 993059284