Search a number
-
+
469744 = 241117157
BaseRepresentation
bin1110010101011110000
3212212100221
41302223300
5110012434
614022424
73664342
oct1625360
9785327
10469744
112a0a20
121a7a14
13135a72
14c3292
15942b4
hex72af0

469744 has 40 divisors (see below), whose sum is σ = 1057968. Its totient is φ = 199680.

The previous prime is 469723. The next prime is 469747. The reversal of 469744 is 447964.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469747) 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, 2914 + ... + 3070.

2469744 is an apocalyptic number.

469744 is a gapful number since it is divisible by the number (44) 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 469744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528984).

469744 is an abundant number, since it is smaller than the sum of its proper divisors (588224).

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

469744 is a wasteful number, since it uses less digits than its factorization.

469744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 469744 is about 685.3787274201. The cubic root of 469744 is about 77.7356821338.

The spelling of 469744 in words is "four hundred sixty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 157 176 187 272 314 374 628 748 1256 1496 1727 2512 2669 2992 3454 5338 6908 10676 13816 21352 27632 29359 42704 58718 117436 234872 469744