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99942336 = 2634131483
BaseRepresentation
bin1011111010011…
…11111111000000
320222001121010000
411331033333000
5201041123321
613530040000
72322332034
oct575177700
9228047100
1099942336
115146217a
1229579000
13179234a0
14d3b81c4
158b92826
hex5f4ffc0

99942336 has 140 divisors (see below), whose sum is σ = 319264792. Its totient is φ = 30730752.

The previous prime is 99942317. The next prime is 99942341. The reversal of 99942336 is 63324999.

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

It is a junction number, because it is equal to n+sod(n) for n = 99942291 and 99942300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66651 + ... + 68133.

Almost surely, 299942336 is an apocalyptic number.

99942336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159632396).

99942336 is an abundant number, since it is smaller than the sum of its proper divisors (219322456).

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

99942336 is a wasteful number, since it uses less digits than its factorization.

99942336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1501 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 99942336 is about 9997.1163842380. The cubic root of 99942336 is about 464.0696486808.

The spelling of 99942336 in words is "ninety-nine million, nine hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1483 1728 1872 2106 2496 2592 2808 2966 3744 4212 4449 5184 5616 5932 7488 8424 8898 11232 11864 13347 16848 17796 19279 22464 23728 26694 33696 35592 38558 40041 47456 53388 57837 67392 71184 77116 80082 94912 106776 115674 120123 142368 154232 160164 173511 213552 231348 240246 284736 308464 320328 347022 427104 462696 480492 520533 616928 640656 694044 854208 925392 960984 1041066 1233856 1281312 1388088 1561599 1850784 1921968 2082132 2562624 2776176 3123198 3701568 3843936 4164264 5552352 6246396 7687872 8328528 11104704 12492792 16657056 24985584 33314112 49971168 99942336