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96190992 = 24322292917
BaseRepresentation
bin1011011101111…
…00001000010000
320201000000020100
411232330020100
5144111102432
613313412400
72245416132
oct556741020
9221000210
1096190992
114a32a797
122826a100
1316c0bb61
14cabd052
1586a107c
hex5bbc210

96190992 has 60 divisors (see below), whose sum is σ = 270469420. Its totient is φ = 31912704.

The previous prime is 96190951. The next prime is 96190993. The reversal of 96190992 is 29909169.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 2178576 = 9696^2 + 1476^2 .

It is not an unprimeable number, because it can be changed into a prime (96190993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31518 + ... + 34434.

Almost surely, 296190992 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 96190992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135234710).

96190992 is an abundant number, since it is smaller than the sum of its proper divisors (174278428).

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

96190992 is a wasteful number, since it uses less digits than its factorization.

96190992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 96190992 is about 9807.7006479603. The cubic root of 96190992 is about 458.1891504015.

The spelling of 96190992 in words is "ninety-six million, one hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 2917 3664 4122 5496 5834 8244 8751 10992 11668 16488 17502 23336 26253 32976 35004 46672 52506 70008 105012 140016 210024 420048 667993 1335986 2003979 2671972 4007958 5343944 6011937 8015916 10687888 12023874 16031832 24047748 32063664 48095496 96190992