Search a number
-
+
97230496 = 2511281983
BaseRepresentation
bin1011100101110…
…01111010100000
320202221211011111
411302321322200
5144342333441
613351553104
72260305556
oct562717240
9222854144
1097230496
114a97a790
122868b794
13171b404c
14ccadbd6
158809081
hex5cb9ea0

97230496 has 48 divisors (see below), whose sum is σ = 209780928. Its totient is φ = 43993600.

The previous prime is 97230493. The next prime is 97230503. The reversal of 97230496 is 69403279.

It is not an unprimeable number, because it can be changed into a prime (97230493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98421 + ... + 99403.

It is an arithmetic number, because the mean of its divisors is an integer number (4370436).

Almost surely, 297230496 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 97230496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104890464).

97230496 is an abundant number, since it is smaller than the sum of its proper divisors (112550432).

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

97230496 is a wasteful number, since it uses less digits than its factorization.

97230496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 97230496 is about 9860.5525200163. The cubic root of 97230496 is about 459.8337395367.

The spelling of 97230496 in words is "ninety-seven million, two hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 281 352 562 983 1124 1966 2248 3091 3932 4496 6182 7864 8992 10813 12364 15728 21626 24728 31456 43252 49456 86504 98912 173008 276223 346016 552446 1104892 2209784 3038453 4419568 6076906 8839136 12153812 24307624 48615248 97230496