Search a number
-
+
97608368 = 241113371153
BaseRepresentation
bin1011101000101…
…10001010110000
320210200000111202
411310112022300
5144441431433
613404030332
72263441334
oct564261260
9223600452
1097608368
1150108680
12288323a8
13172b7040
14cd6b7c4
158880ee8
hex5d162b0

97608368 has 80 divisors (see below), whose sum is σ = 228381216. Its totient is φ = 39813120.

The previous prime is 97608353. The next prime is 97608391. The reversal of 97608368 is 86380679.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84080 + ... + 85232.

Almost surely, 297608368 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 97608368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114190608).

97608368 is an abundant number, since it is smaller than the sum of its proper divisors (130772848).

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

97608368 is a wasteful number, since it uses less digits than its factorization.

97608368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 97608368 is about 9879.6947321261. The cubic root of 97608368 is about 460.4286615395.

The spelling of 97608368 in words is "ninety-seven million, six hundred eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 143 148 176 208 286 296 407 481 572 592 814 962 1144 1153 1628 1924 2288 2306 3256 3848 4612 5291 6512 7696 9224 10582 12683 14989 18448 21164 25366 29978 42328 42661 50732 59956 84656 85322 101464 119912 164879 170644 202928 239824 329758 341288 469271 554593 659516 682576 938542 1109186 1319032 1877084 2218372 2638064 3754168 4436744 6100523 7508336 8873488 12201046 24402092 48804184 97608368