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99329328 = 2434710949
BaseRepresentation
bin1011110101110…
…10010100110000
320220220110020000
411322322110300
5200412014303
613504550000
72314166610
oct572722460
9226813200
1099329328
115108365a
1229322300
131776a467
14d298a40
158ac0da3
hex5eba530

99329328 has 100 divisors (see below), whose sum is σ = 328587600. Its totient is φ = 28377216.

The previous prime is 99329311. The next prime is 99329333. The reversal of 99329328 is 82392399.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3598 + ... + 14546.

It is an arithmetic number, because the mean of its divisors is an integer number (3285876).

Almost surely, 299329328 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 99329328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164293800).

99329328 is an abundant number, since it is smaller than the sum of its proper divisors (229258272).

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

99329328 is a wasteful number, since it uses less digits than its factorization.

99329328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10976 (or 10961 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 99329328 is about 9966.4099855465. The cubic root of 99329328 is about 463.1188936893.

The spelling of 99329328 in words is "ninety-nine million, three hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 10949 21898 32847 43796 65694 76643 87592 98541 131388 153286 175184 197082 229929 262776 295623 306572 394164 459858 525552 591246 613144 689787 788328 886869 919716 1182492 1226288 1379574 1576656 1773738 1839432 2069361 2364984 2759148 3547476 3678864 4138722 4729968 5518296 6208083 7094952 8277444 11036592 12416166 14189904 16554888 24832332 33109776 49664664 99329328