Search a number
-
+
96275344 = 241122232
BaseRepresentation
bin1011011110100…
…00101110010000
320201011021221111
411233100232100
5144121302334
613315303104
72246220064
oct557205620
9221137844
1096275344
114a388100
12282aaa94
1316c3b379
14cb01aa4
1586bb064
hex5bd0b90

96275344 has 45 divisors (see below), whose sum is σ = 205956219. Its totient is φ = 43565280.

The previous prime is 96275341. The next prime is 96275351. The reversal of 96275344 is 44357269.

It is a happy number.

The square root of 96275344 is 9812.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 96275297 and 96275306.

It is not an unprimeable number, because it can be changed into a prime (96275341) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 431617 + ... + 431839.

Almost surely, 296275344 is an apocalyptic number.

96275344 is the 9812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96275344

96275344 is an abundant number, since it is smaller than the sum of its proper divisors (109680875).

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

96275344 is a wasteful number, since it uses less digits than its factorization.

96275344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 236 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The cubic root of 96275344 is about 458.3230433245.

The spelling of 96275344 in words is "ninety-six million, two hundred seventy-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 223 242 446 484 892 968 1784 1936 2453 3568 4906 9812 19624 26983 39248 49729 53966 99458 107932 198916 215864 397832 431728 547019 795664 1094038 2188076 4376152 6017209 8752304 12034418 24068836 48137672 96275344