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463956 = 22323412
BaseRepresentation
bin1110001010001010100
3212120102120
41301101110
5104321311
613535540
73641433
oct1612124
9776376
10463956
11297639
121a45b0
1313323c
14c111a
1592706
hex71454

463956 has 36 divisors (see below), whose sum is σ = 1157856. Its totient is φ = 144320.

The previous prime is 463949. The next prime is 463963. The reversal of 463956 is 659364.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (463949) and next prime (463963).

It is a congruent number.

It is an unprimeable number.

463956 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 11 ways as a sum of consecutive naturals, for example, 11296 + ... + 11336.

2463956 is an apocalyptic number.

463956 is a gapful number since it is divisible by the number (46) 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 463956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578928).

463956 is an abundant number, since it is smaller than the sum of its proper divisors (693900).

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

463956 is a wasteful number, since it uses less digits than its factorization.

463956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 463956 is about 681.1431567593. The cubic root of 463956 is about 77.4150856293.

The spelling of 463956 in words is "four hundred sixty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1681 1886 2829 3362 3772 5043 5658 6724 10086 11316 20172 38663 77326 115989 154652 231978 463956