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96095232 = 2103210427
BaseRepresentation
bin1011011101001…
…00110000000000
320200211010212200
411232210300000
5144100021412
613311353200
72244540012
oct556446000
9220733780
1096095232
114a274852
1228222800
1316ba73ac
14ca961b2
1586829dc
hex5ba4c00

96095232 has 66 divisors (see below), whose sum is σ = 277499508. Its totient is φ = 32028672.

The previous prime is 96095231. The next prime is 96095243. The reversal of 96095232 is 23259069.

It is a super-2 number, since 2×960952322 = 18468587226267648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (96095231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4003 + ... + 14429.

It is an arithmetic number, because the mean of its divisors is an integer number (4204538).

Almost surely, 296095232 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 96095232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138749754).

96095232 is an abundant number, since it is smaller than the sum of its proper divisors (181404276).

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

96095232 is a wasteful number, since it uses less digits than its factorization.

96095232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10453 (or 10432 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 96095232 is about 9802.8175541525. The cubic root of 96095232 is about 458.0370545206.

It can be divided in two parts, 9609 and 5232, that added together give a palindrome (14841).

The spelling of 96095232 in words is "ninety-six million, ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 10427 20854 31281 41708 62562 83416 93843 125124 166832 187686 250248 333664 375372 500496 667328 750744 1000992 1334656 1501488 2001984 2669312 3002976 4003968 5338624 6005952 8007936 10677248 12011904 16015872 24023808 32031744 48047616 96095232