Search a number
-
+
97797104 = 24192371197
BaseRepresentation
bin1011101010001…
…00001111110000
320211000121101222
411311010033300
5200014001404
613412044212
72265155516
oct565041760
9224017358
1097797104
1150227459
1228903668
1317351c12
14cdba4b6
1588bbdbe
hex5d443f0

97797104 has 80 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 43464960.

The previous prime is 97797101. The next prime is 97797109. The reversal of 97797104 is 40179779.

It is a happy number.

Together with 114332175 it forms a betrothed pair.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97797101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 496334 + ... + 496530.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 297797104 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 97797104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

97797104 is an abundant number, since it is smaller than the sum of its proper divisors (114332176).

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

97797104 is a wasteful number, since it uses less digits than its factorization.

97797104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 44.

The square root of 97797104 is about 9889.2418314045. The cubic root of 97797104 is about 460.7252328137.

The spelling of 97797104 in words is "ninety-seven million, seven hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 23 38 46 71 76 92 142 152 184 197 284 304 368 394 437 568 788 874 1136 1349 1576 1633 1748 2698 3152 3266 3496 3743 4531 5396 6532 6992 7486 9062 10792 13064 13987 14972 18124 21584 26128 27974 29944 31027 36248 55948 59888 62054 72496 86089 111896 124108 172178 223792 248216 265753 321701 344356 496432 531506 643402 688712 1063012 1286804 1377424 2126024 2573608 4252048 5147216 6112319 12224638 24449276 48898552 97797104