Search a number
-
+
604992 = 26323137
BaseRepresentation
bin10010011101101000000
31010201220010
42103231000
5123324432
620544520
75066553
oct2235500
91121803
10604992
113835a3
12252140
131824ab
1411a69a
15be3cc
hex93b40

604992 has 56 divisors (see below), whose sum is σ = 1682496. Its totient is φ = 191488.

The previous prime is 604973. The next prime is 604997. The reversal of 604992 is 299406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (604997) by changing a digit.

604992 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, 4348 + ... + 4484.

2604992 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 604992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841248).

604992 is an abundant number, since it is smaller than the sum of its proper divisors (1077504).

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

604992 is a wasteful number, since it uses less digits than its factorization.

604992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 604992 is about 777.8123166934. The cubic root of 604992 is about 84.5765327887.

It can be divided in two parts, 604 and 992, that added together give a triangular number (1596 = T56).

The spelling of 604992 in words is "six hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 137 138 184 192 274 276 368 411 548 552 736 822 1096 1104 1472 1644 2192 2208 3151 3288 4384 4416 6302 6576 8768 9453 12604 13152 18906 25208 26304 37812 50416 75624 100832 151248 201664 302496 604992