Search a number
-
+
99468336 = 243113159103
BaseRepresentation
bin1011110110111…
…00010000110000
320221011111220110
411323130100300
5200430441321
613511541320
72315316102
oct573342060
9227144813
1099468336
1151169040
122938a840
13177b8806
14d2d3572
158aec176
hex5edc430

99468336 has 160 divisors (see below), whose sum is σ = 297123840. Its totient is φ = 28396800.

The previous prime is 99468329. The next prime is 99468361. The reversal of 99468336 is 63386499.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965661 + ... + 965763.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 299468336 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 99468336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

99468336 is an abundant number, since it is smaller than the sum of its proper divisors (197655504).

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

99468336 is a wasteful number, since it uses less digits than its factorization.

99468336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 99468336 is about 9973.3813724333. The cubic root of 99468336 is about 463.3348326758.

The spelling of 99468336 in words is "ninety-nine million, four hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 59 62 66 88 93 103 118 124 132 176 177 186 206 236 248 264 309 341 354 372 412 472 496 528 618 649 682 708 744 824 944 1023 1133 1236 1298 1364 1416 1488 1648 1829 1947 2046 2266 2472 2596 2728 2832 3193 3399 3658 3894 4092 4532 4944 5192 5456 5487 6077 6386 6798 7316 7788 8184 9064 9579 10384 10974 12154 12772 13596 14632 15576 16368 18128 18231 19158 20119 21948 24308 25544 27192 29264 31152 35123 36462 38316 40238 43896 48616 51088 54384 60357 66847 70246 72924 76632 80476 87792 97232 105369 120714 133694 140492 145848 153264 160952 188387 200541 210738 241428 267388 280984 291696 321904 376774 401082 421476 482856 534776 561968 565161 753548 802164 842952 965712 1069552 1130322 1507096 1604328 1685904 2072257 2260644 3014192 3208656 4144514 4521288 6216771 8289028 9042576 12433542 16578056 24867084 33156112 49734168 99468336