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97888384 = 2711371879
BaseRepresentation
bin1011101010110…
…10100010000000
320211012020121201
411311122202000
5200024412014
613414030544
72266015606
oct565324200
9224166551
1097888384
1150289aa0
1228948454
1317384629
14d001876
1588d8e74
hex5d5a880

97888384 has 64 divisors (see below), whose sum is σ = 218606400. Its totient is φ = 43269120.

The previous prime is 97888379. The next prime is 97888393. The reversal of 97888384 is 48388879.

It is a tau number, because it is divible by the number of its divisors (64).

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, 51157 + ... + 53035.

It is an arithmetic number, because the mean of its divisors is an integer number (3415725).

Almost surely, 297888384 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 97888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109303200).

97888384 is an abundant number, since it is smaller than the sum of its proper divisors (120718016).

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

97888384 is a wasteful number, since it uses less digits than its factorization.

97888384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1929 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 55.

The square root of 97888384 is about 9893.8558711960. The cubic root of 97888384 is about 460.8685292241.

The spelling of 97888384 in words is "ninety-seven million, eight hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1184 1408 1628 1879 2368 3256 3758 4736 6512 7516 13024 15032 20669 26048 30064 41338 52096 60128 69523 82676 120256 139046 165352 240512 278092 330704 556184 661408 764753 1112368 1322816 1529506 2224736 2645632 3059012 4449472 6118024 8898944 12236048 24472096 48944192 97888384