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99096816 = 2437313463
BaseRepresentation
bin1011110100000…
…01100011110000
320220110122021110
411322001203300
5200332044231
613455553320
72312211000
oct572014360
9226418243
1099096816
1150a349a5
122922b840
13176b8690
14d238000
158a77046
hex5e818f0

99096816 has 160 divisors (see below), whose sum is σ = 322201600. Its totient is φ = 26078976.

The previous prime is 99096797. The next prime is 99096827. The reversal of 99096816 is 61869099.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213801 + ... + 214263.

It is an arithmetic number, because the mean of its divisors is an integer number (2013760).

Almost surely, 299096816 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 99096816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161100800).

99096816 is an abundant number, since it is smaller than the sum of its proper divisors (223104784).

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

99096816 is a wasteful number, since it uses less digits than its factorization.

99096816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 99096816 is about 9954.7383692390. The cubic root of 99096816 is about 462.7572521608.

The spelling of 99096816 in words is "ninety-nine million, ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 343 364 392 463 546 588 624 637 686 728 784 926 1029 1092 1176 1274 1372 1389 1456 1852 1911 2058 2184 2352 2548 2744 2778 3241 3704 3822 4116 4368 4459 5096 5488 5556 6019 6482 7408 7644 8232 8918 9723 10192 11112 12038 12964 13377 15288 16464 17836 18057 19446 22224 22687 24076 25928 26754 30576 35672 36114 38892 42133 45374 48152 51856 53508 68061 71344 72228 77784 84266 90748 96304 107016 126399 136122 144456 155568 158809 168532 181496 214032 252798 272244 288912 294931 317618 337064 362992 476427 505596 544488 589862 635236 674128 884793 952854 1011192 1088976 1179724 1270472 1769586 1905708 2022384 2064517 2359448 2540944 3539172 3811416 4129034 4718896 6193551 7078344 7622832 8258068 12387102 14156688 16516136 24774204 33032272 49548408 99096816