Search a number
-
+
97988384 = 25131092161
BaseRepresentation
bin1011101011100…
…10111100100000
320211101022210102
411311302330200
5200041112014
613420121532
72266613264
oct565627440
9224338712
1097988384
115034813a
12289962a8
13173bacc0
14d02a0a4
1589088de
hex5d72f20

97988384 has 48 divisors (see below), whose sum is σ = 209757240. Its totient is φ = 44789760.

The previous prime is 97988369. The next prime is 97988447. The reversal of 97988384 is 48388979.

It can be written as a sum of positive squares in 4 ways, for example, as 81504784 + 16483600 = 9028^2 + 4060^2 .

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, 44264 + ... + 46424.

Almost surely, 297988384 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 97988384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104878620).

97988384 is an abundant number, since it is smaller than the sum of its proper divisors (111768856).

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

97988384 is a wasteful number, since it uses less digits than its factorization.

97988384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2285 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 56.

The square root of 97988384 is about 9898.9082226274. The cubic root of 97988384 is about 461.0254125582.

The spelling of 97988384 in words is "ninety-seven million, nine hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 208 218 416 436 872 1417 1744 2161 2834 3488 4322 5668 8644 11336 17288 22672 28093 34576 45344 56186 69152 112372 224744 235549 449488 471098 898976 942196 1884392 3062137 3768784 6124274 7537568 12248548 24497096 48994192 97988384