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97093984 = 2513317529
BaseRepresentation
bin1011100100110…
…00100101100000
320202200212220111
411302120211200
5144324001414
613345021104
72256166561
oct562304540
9222625814
1097093984
114a897169
1228624794
1317166b80
14cc76168
1587cd8c4
hex5c98960

97093984 has 48 divisors (see below), whose sum is σ = 212526720. Its totient is φ = 43361280.

The previous prime is 97093979. The next prime is 97094003. The reversal of 97093984 is 48939079.

It is a congruent number.

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, 9132 + ... + 16660.

It is an arithmetic number, because the mean of its divisors is an integer number (4427640).

Almost surely, 297093984 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 97093984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106263360).

97093984 is an abundant number, since it is smaller than the sum of its proper divisors (115432736).

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

97093984 is a wasteful number, since it uses less digits than its factorization.

97093984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7583 (or 7575 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The square root of 97093984 is about 9853.6279613146. The cubic root of 97093984 is about 459.6184359480.

The spelling of 97093984 in words is "ninety-seven million, ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 7529 12896 15058 30116 60232 97877 120464 195754 233399 240928 391508 466798 783016 933596 1566032 1867192 3034187 3132064 3734384 6068374 7468768 12136748 24273496 48546992 97093984