Search a number
-
+
97898832 = 2432838191
BaseRepresentation
bin1011101010111…
…01000101010000
320211012202221200
411311131011100
5200030230312
613414151200
72266061223
oct565350520
9224182850
1097898832
1150296929
1228952500
1317389305
14d0055ba
1588dc0dc
hex5d5d150

97898832 has 60 divisors (see below), whose sum is σ = 277315584. Its totient is φ = 32235840.

The previous prime is 97898813. The next prime is 97898851. The reversal of 97898832 is 23889879.

It is an interprime number because it is at equal distance from previous prime (97898813) and next prime (97898851).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7857 + ... + 16047.

Almost surely, 297898832 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 97898832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138657792).

97898832 is an abundant number, since it is smaller than the sum of its proper divisors (179416752).

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

97898832 is a wasteful number, since it uses less digits than its factorization.

97898832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8279 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 97898832 is about 9894.3838615651. The cubic root of 97898832 is about 460.8849253919.

The spelling of 97898832 in words is "ninety-seven million, eight hundred ninety-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 8191 11952 16382 24573 32764 49146 65528 73719 98292 131056 147438 196584 294876 393168 589752 679853 1179504 1359706 2039559 2719412 4079118 5438824 6118677 8158236 10877648 12237354 16316472 24474708 32632944 48949416 97898832