Search a number
-
+
97848366 = 237111971157
BaseRepresentation
bin1011101010100…
…00110000101110
320211010012201120
411311100300232
5200022121431
613413121410
72265461130
oct565206056
9224105646
1097848366
1150261a20
1228929266
131736c355
14cdd1050
1588cc196
hex5d50c2e

97848366 has 128 divisors (see below), whose sum is σ = 262103040. Its totient is φ = 23587200.

The previous prime is 97848343. The next prime is 97848383. The reversal of 97848366 is 66384879.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 623160 + ... + 623316.

It is an arithmetic number, because the mean of its divisors is an integer number (2047680).

Almost surely, 297848366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97848366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131051520).

97848366 is an abundant number, since it is smaller than the sum of its proper divisors (164254674).

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

97848366 is a wasteful number, since it uses less digits than its factorization.

97848366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270.

The product of its digits is 1741824, while the sum is 51.

The square root of 97848366 is about 9891.8332982314. The cubic root of 97848366 is about 460.8057177176.

The spelling of 97848366 in words is "ninety-seven million, eight hundred forty-eight thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 71 77 114 133 142 154 157 209 213 231 266 314 399 418 426 462 471 497 627 781 798 942 994 1099 1254 1349 1463 1491 1562 1727 2198 2343 2698 2926 2982 2983 3297 3454 4047 4389 4686 5181 5467 5966 6594 8094 8778 8949 9443 10362 10934 11147 12089 14839 16401 17898 18886 20881 22294 24178 28329 29678 32802 32813 33441 36267 41762 44517 56658 62643 65626 66882 72534 78029 89034 98439 103873 122617 125286 156058 196878 207746 211793 229691 234087 245234 311619 367851 423586 459382 468174 623238 635379 689073 735702 858319 1270758 1378146 1482551 1716638 2329723 2574957 2965102 4447653 4659446 5149914 6989169 8895306 13978338 16308061 32616122 48924183 97848366