Search a number
-
+
97585696 = 2513298089
BaseRepresentation
bin1011101000100…
…00101000100000
320210121212102001
411310100220200
5144440220241
613403333344
72263315255
oct564205040
9223555361
1097585696
11500a263a
1228821254
13172a9920
14cd6342c
158879431
hex5d10a20

97585696 has 48 divisors (see below), whose sum is σ = 214061400. Its totient is φ = 43481088.

The previous prime is 97585681. The next prime is 97585703. The reversal of 97585696 is 69658579.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36433296 + 61152400 = 6036^2 + 7820^2 .

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, 8020 + ... + 16108.

Almost surely, 297585696 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 97585696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107030700).

97585696 is an abundant number, since it is smaller than the sum of its proper divisors (116475704).

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

97585696 is a wasteful number, since it uses less digits than its factorization.

97585696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8141 (or 8133 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 55.

The square root of 97585696 is about 9878.5472616170. The cubic root of 97585696 is about 460.3930100642.

The spelling of 97585696 in words is "ninety-seven million, five hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 8089 12064 16178 32356 64712 105157 129424 210314 234581 258848 420628 469162 841256 938324 1682512 1876648 3049553 3365024 3753296 6099106 7506592 12198212 24396424 48792848 97585696