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99023568 = 24371911543
BaseRepresentation
bin1011110011011…
…11101011010000
320220022220210120
411321233223100
5200322223233
613454230240
72311454310
oct571575320
9226286716
1099023568
1150994966
12291b5380
1317691237
14d219440
158a604b3
hex5e6fad0

99023568 has 80 divisors (see below), whose sum is σ = 294076416. Its totient is φ = 28126080.

The previous prime is 99023567. The next prime is 99023591. The reversal of 99023568 is 86532099.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99023563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63405 + ... + 64947.

Almost surely, 299023568 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 99023568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147038208).

99023568 is an abundant number, since it is smaller than the sum of its proper divisors (195052848).

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

99023568 is a wasteful number, since it uses less digits than its factorization.

99023568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 99023568 is about 9951.0586371501. The cubic root of 99023568 is about 462.6432074670.

The spelling of 99023568 in words is "ninety-nine million, twenty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 191 336 382 573 764 1146 1337 1528 1543 2292 2674 3056 3086 4011 4584 4629 5348 6172 8022 9168 9258 10696 10801 12344 16044 18516 21392 21602 24688 32088 32403 37032 43204 64176 64806 74064 86408 129612 172816 259224 294713 518448 589426 884139 1178852 1768278 2062991 2357704 3536556 4125982 4715408 6188973 7073112 8251964 12377946 14146224 16503928 24755892 33007856 49511784 99023568