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97984704 = 263539629
BaseRepresentation
bin1011101011100…
…10000011000000
320211101010202010
411311302003000
5200041002304
613420052520
72266566456
oct565620300
9224333663
1097984704
11503453a4
1228994140
13173b941c
14d0289d6
158907789
hex5d720c0

97984704 has 56 divisors (see below), whose sum is σ = 264170160. Its totient is φ = 32041984.

The previous prime is 97984697. The next prime is 97984717. The reversal of 97984704 is 40748979.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5362 + ... + 14990.

Almost surely, 297984704 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 97984704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132085080).

97984704 is an abundant number, since it is smaller than the sum of its proper divisors (166185456).

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

97984704 is a wasteful number, since it uses less digits than its factorization.

97984704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697 (or 9687 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 97984704 is about 9898.7223417975. The cubic root of 97984704 is about 461.0196411436.

The spelling of 97984704 in words is "ninety-seven million, nine hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2544 3392 5088 9629 10176 19258 28887 38516 57774 77032 115548 154064 231096 308128 462192 510337 616256 924384 1020674 1531011 1848768 2041348 3062022 4082696 6124044 8165392 12248088 16330784 24496176 32661568 48992352 97984704