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96113772 = 223229432141
BaseRepresentation
bin1011011101010…
…01010001101100
320200212002022100
411232221101230
5144101120042
613312015100
72244645036
oct556512154
9220762270
1096113772
114a287777
1228231490
1316bb2971
14ca9cc56
15868824c
hex5ba946c

96113772 has 72 divisors (see below), whose sum is σ = 257297040. Its totient is φ = 30199680.

The previous prime is 96113749. The next prime is 96113779. The reversal of 96113772 is 27731169.

It is a happy number.

96113772 is a `hidden beast` number, since 9 + 611 + 37 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (96113779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43822 + ... + 45962.

It is an arithmetic number, because the mean of its divisors is an integer number (3573570).

Almost surely, 296113772 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 96113772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128648520).

96113772 is an abundant number, since it is smaller than the sum of its proper divisors (161183268).

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

96113772 is a wasteful number, since it uses less digits than its factorization.

96113772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2218 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 96113772 is about 9803.7631550339. The cubic root of 96113772 is about 458.0665095405.

The spelling of 96113772 in words is "ninety-six million, one hundred thirteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 258 261 348 387 516 522 774 1044 1247 1548 2141 2494 3741 4282 4988 6423 7482 8564 11223 12846 14964 19269 22446 25692 38538 44892 62089 77076 92063 124178 184126 186267 248356 276189 368252 372534 552378 558801 745068 828567 1104756 1117602 1657134 2235204 2669827 3314268 5339654 8009481 10679308 16018962 24028443 32037924 48056886 96113772