Search a number
-
+
916464 = 24361313
BaseRepresentation
bin11011111101111110000
31201120011010
43133233300
5213311324
631350520
710534623
oct3375760
91646133
10916464
1157660a
12382440
132611b3
1419bdba
15131829
hexdfbf0

916464 has 40 divisors (see below), whose sum is σ = 2414032. Its totient is φ = 299520.

The previous prime is 916463. The next prime is 916469. The reversal of 916464 is 464619.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2772 + ... + 3084.

2916464 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 916464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207016).

916464 is an abundant number, since it is smaller than the sum of its proper divisors (1497568).

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

916464 is a wasteful number, since it uses less digits than its factorization.

916464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 916464 is about 957.3212626908. The cubic root of 916464 is about 97.1341185087.

It can be divided in two parts, 91 and 6464, that added together give a triangular number (6555 = T114).

The spelling of 916464 in words is "nine hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 313 366 488 626 732 939 976 1252 1464 1878 2504 2928 3756 5008 7512 15024 19093 38186 57279 76372 114558 152744 229116 305488 458232 916464