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99426312 = 233341103109
BaseRepresentation
bin1011110110100…
…10000000001000
320221002101021000
411323102000020
5200423120222
613511015000
72315052426
oct573220010
9227071230
1099426312
115113a507
122936a460
13177a264b
14d2c2116
158ade9ac
hex5ed2008

99426312 has 128 divisors (see below), whose sum is σ = 288288000. Its totient is φ = 31726080.

The previous prime is 99426311. The next prime is 99426329. The reversal of 99426312 is 21362499.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99426311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912114 + ... + 912222.

It is an arithmetic number, because the mean of its divisors is an integer number (2252250).

Almost surely, 299426312 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 99426312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144000).

99426312 is an abundant number, since it is smaller than the sum of its proper divisors (188861688).

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

99426312 is a wasteful number, since it uses less digits than its factorization.

99426312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

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

The square root of 99426312 is about 9971.2743418281. The cubic root of 99426312 is about 463.2695726257.

The spelling of 99426312 in words is "ninety-nine million, four hundred twenty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 103 108 109 123 164 206 216 218 246 309 327 328 369 412 436 492 618 654 738 824 872 927 981 984 1107 1236 1308 1476 1854 1962 2214 2472 2616 2781 2943 2952 3708 3924 4223 4428 4469 5562 5886 7416 7848 8446 8856 8938 11124 11227 11772 12669 13407 16892 17876 22248 22454 23544 25338 26814 33681 33784 35752 38007 40221 44908 50676 53628 67362 76014 80442 89816 101043 101352 107256 114021 120663 134724 152028 160884 202086 228042 241326 269448 303129 304056 321768 404172 456084 460307 482652 606258 808344 912168 920614 965304 1212516 1380921 1841228 2425032 2761842 3682456 4142763 5523684 8285526 11047368 12428289 16571052 24856578 33142104 49713156 99426312