Search a number
-
+
96837384 = 23371135101
BaseRepresentation
bin1011100010110…
…01111100001000
320202012211220210
411301121330020
5144242244014
613335321120
72254050510
oct561317410
9222184823
1096837384
114a7313a6
12285201a0
13170a7137
14cc0a840
15877c859
hex5c59f08

96837384 has 64 divisors (see below), whose sum is σ = 279181440. Its totient is φ = 27417600.

The previous prime is 96837371. The next prime is 96837469. The reversal of 96837384 is 48373869.

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 15 ways as a sum of consecutive naturals, for example, 16434 + ... + 21534.

It is an arithmetic number, because the mean of its divisors is an integer number (4362210).

Almost surely, 296837384 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 96837384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139590720).

96837384 is an abundant number, since it is smaller than the sum of its proper divisors (182344056).

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

96837384 is a wasteful number, since it uses less digits than its factorization.

96837384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5226 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 96837384 is about 9840.5987622705. The cubic root of 96837384 is about 459.2131855085.

The spelling of 96837384 in words is "ninety-six million, eight hundred thirty-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4746 5101 6328 9492 10202 15303 18984 20404 30606 35707 40808 61212 71414 107121 122424 142828 214242 285656 428484 576413 856968 1152826 1729239 2305652 3458478 4034891 4611304 6916956 8069782 12104673 13833912 16139564 24209346 32279128 48418692 96837384