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96995584 = 287113479
BaseRepresentation
bin1011100100000…
…00100100000000
320202111212221001
411302000210000
5144312324314
613342541344
72255306650
oct562004400
9222455831
1096995584
114a82a244
1228597854
131713114a
14cc4c360
1587ae674
hex5c80900

96995584 has 72 divisors (see below), whose sum is σ = 223695360. Its totient is φ = 41115648.

The previous prime is 96995581. The next prime is 96995609. The reversal of 96995584 is 48559969.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96995581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202257 + ... + 202735.

It is an arithmetic number, because the mean of its divisors is an integer number (3106880).

Almost surely, 296995584 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 96995584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111847680).

96995584 is an abundant number, since it is smaller than the sum of its proper divisors (126699776).

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

96995584 is a wasteful number, since it uses less digits than its factorization.

96995584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 55.

The square root of 96995584 is about 9848.6336108112. The cubic root of 96995584 is about 459.4631165379.

It can be divided in two parts, 96995 and 584, that added together give a palindrome (97579).

The spelling of 96995584 in words is "ninety-six million, nine hundred ninety-five thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 224 226 256 448 452 479 791 896 904 958 1582 1792 1808 1916 3164 3353 3616 3832 6328 6706 7232 7664 12656 13412 14464 15328 25312 26824 28928 30656 50624 53648 54127 61312 101248 107296 108254 122624 202496 214592 216508 378889 429184 433016 757778 858368 866032 1515556 1732064 3031112 3464128 6062224 6928256 12124448 13856512 24248896 48497792 96995584