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40296 = 2332373
BaseRepresentation
bin1001110101101000
32001021110
421311220
52242141
6510320
7225324
oct116550
961243
1040296
1128303
121b3a0
1315459
1410984
15be16
hex9d68

40296 has 32 divisors (see below), whose sum is σ = 106560. Its totient is φ = 12672.

The previous prime is 40289. The next prime is 40343. The reversal of 40296 is 69204.

40296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

40296 is a modest number, since divided by 296 gives 40 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40296.

It is an unprimeable number.

40296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (3330).

240296 is an apocalyptic number.

40296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53280).

40296 is an abundant number, since it is smaller than the sum of its proper divisors (66264).

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

40296 is a wasteful number, since it uses less digits than its factorization.

40296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 40296 is about 200.7386360420. The cubic root of 40296 is about 34.2836705131.

The spelling of 40296 in words is "forty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 73 92 138 146 184 219 276 292 438 552 584 876 1679 1752 3358 5037 6716 10074 13432 20148 40296