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464490 = 232513397
BaseRepresentation
bin1110001011001101010
3212121011100
41301121222
5104330430
613542230
73643125
oct1613152
9777140
10464490
11297a84
121a4976
13133560
14c13bc
1592960
hex7166a

464490 has 48 divisors (see below), whose sum is σ = 1303848. Its totient is φ = 114048.

The previous prime is 464483. The next prime is 464521. The reversal of 464490 is 94464.

It can be written as a sum of positive squares in 4 ways, for example, as 328329 + 136161 = 573^2 + 369^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 464490.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972 + ... + 1368.

2464490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651924).

464490 is an abundant number, since it is smaller than the sum of its proper divisors (839358).

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

464490 is a wasteful number, since it uses less digits than its factorization.

464490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 464490 is about 681.5350321150. The cubic root of 464490 is about 77.4447750866. Note that the first 3 decimals are identical.

The spelling of 464490 in words is "four hundred sixty-four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 397 585 794 1170 1191 1985 2382 3573 3970 5161 5955 7146 10322 11910 15483 17865 25805 30966 35730 46449 51610 77415 92898 154830 232245 464490