Search a number
-
+
96032412 = 22337592153
BaseRepresentation
bin1011011100101…
…01011010011100
320200200221201000
411232111122130
5144041014122
613310150300
72244155610
oct556253234
9220627630
1096032412
114a231633
12281b2390
1316b84918
14ca7b340
15866e0ac
hex5b9569c

96032412 has 96 divisors (see below), whose sum is σ = 289497600. Its totient is φ = 26960256.

The previous prime is 96032357. The next prime is 96032413. The reversal of 96032412 is 21423069.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96032413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43528 + ... + 45680.

It is an arithmetic number, because the mean of its divisors is an integer number (3015600).

Almost surely, 296032412 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 96032412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144748800).

96032412 is an abundant number, since it is smaller than the sum of its proper divisors (193465188).

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

96032412 is a wasteful number, since it uses less digits than its factorization.

96032412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 96032412 is about 9799.6128494956. The cubic root of 96032412 is about 457.9372224425.

The spelling of 96032412 in words is "ninety-six million, thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 84 108 118 126 177 189 236 252 354 378 413 531 708 756 826 1062 1239 1593 1652 2124 2153 2478 3186 3717 4306 4956 6372 6459 7434 8612 11151 12918 14868 15071 19377 22302 25836 30142 38754 44604 45213 58131 60284 77508 90426 116262 127027 135639 180852 232524 254054 271278 381081 406917 508108 542556 762162 813834 889189 1143243 1524324 1627668 1778378 2286486 2667567 3429729 3556756 4572972 5335134 6859458 8002701 10670268 13718916 16005402 24008103 32010804 48016206 96032412