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914868 = 223343197
BaseRepresentation
bin11011111010110110100
31201110222000
43133112310
5213233433
631335300
710530153
oct3372664
91643860
10914868
11575399
12381530
13260556
1419b59a
15131113
hexdf5b4

914868 has 48 divisors (see below), whose sum is σ = 2439360. Its totient is φ = 296352.

The previous prime is 914867. The next prime is 914873. The reversal of 914868 is 868419.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914861) 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 15 ways as a sum of consecutive naturals, for example, 4546 + ... + 4742.

It is an arithmetic number, because the mean of its divisors is an integer number (50820).

2914868 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 914868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219680).

914868 is an abundant number, since it is smaller than the sum of its proper divisors (1524492).

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

914868 is a wasteful number, since it uses less digits than its factorization.

914868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 914868 is about 956.4873234915. The cubic root of 914868 is about 97.0777001691.

It can be divided in two parts, 9148 and 68, that added together give a square (9216 = 962).

The spelling of 914868 in words is "nine hundred fourteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 197 258 387 394 516 591 774 788 1161 1182 1548 1773 2322 2364 3546 4644 5319 7092 8471 10638 16942 21276 25413 33884 50826 76239 101652 152478 228717 304956 457434 914868