Search a number
-
+
464208 = 24319509
BaseRepresentation
bin1110001010101010000
3212120202220
41301111100
5104323313
613541040
73642243
oct1612520
9776686
10464208
11297848
121a4780
131333a4
14c125a
1592823
hex71550

464208 has 40 divisors (see below), whose sum is σ = 1264800. Its totient is φ = 146304.

The previous prime is 464201. The next prime is 464213. The reversal of 464208 is 802464.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464201) 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, 658 + ... + 1166.

It is an arithmetic number, because the mean of its divisors is an integer number (31620).

2464208 is an apocalyptic number.

464208 is a gapful number since it is divisible by the number (48) 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 464208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632400).

464208 is an abundant number, since it is smaller than the sum of its proper divisors (800592).

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

464208 is a wasteful number, since it uses less digits than its factorization.

464208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 464208 is about 681.3281147876. The cubic root of 464208 is about 77.4290992215.

The spelling of 464208 in words is "four hundred sixty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 509 912 1018 1527 2036 3054 4072 6108 8144 9671 12216 19342 24432 29013 38684 58026 77368 116052 154736 232104 464208