Search a number
-
+
97991168 = 2911127137
BaseRepresentation
bin1011101011100…
…11101000000000
320211101110121112
411311303220000
5200041204133
613420142452
72266624352
oct565635000
9224343545
1097991168
115034a240
1228997a28
13173bc352
14d02b0d2
158909648
hex5d73a00

97991168 has 80 divisors (see below), whose sum is σ = 216843264. Its totient is φ = 43868160.

The previous prime is 97991141. The next prime is 97991171. The reversal of 97991168 is 86119979.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 715196 + ... + 715332.

Almost surely, 297991168 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 97991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108421632).

97991168 is an abundant number, since it is smaller than the sum of its proper divisors (118852096).

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

97991168 is a wasteful number, since it uses less digits than its factorization.

97991168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its digits is 244944, while the sum is 50.

The square root of 97991168 is about 9899.0488431970. The cubic root of 97991168 is about 461.0297786628.

It can be divided in two parts, 979911 and 68, that added together give a palindrome (979979).

The spelling of 97991168 in words is "ninety-seven million, nine hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 137 176 254 256 274 352 508 512 548 704 1016 1096 1397 1408 1507 2032 2192 2794 2816 3014 4064 4384 5588 5632 6028 8128 8768 11176 12056 16256 17399 17536 22352 24112 32512 34798 35072 44704 48224 65024 69596 70144 89408 96448 139192 178816 191389 192896 278384 357632 382778 385792 556768 715264 765556 771584 1113536 1531112 2227072 3062224 4454144 6124448 8908288 12248896 24497792 48995584 97991168