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450996 = 223721359
BaseRepresentation
bin1101110000110110100
3211220122120
41232012310
5103412441
613355540
73555600
oct1560664
9756576
10450996
11288927
12198bb0
1312a380
14ba500
158d966
hex6e1b4

450996 has 72 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 116928.

The previous prime is 450991. The next prime is 450997. The reversal of 450996 is 699054.

It is a happy number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450991) by changing a digit.

450996 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 23 ways as a sum of consecutive naturals, for example, 7615 + ... + 7673.

It is an arithmetic number, because the mean of its divisors is an integer number (18620).

2450996 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 450996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

450996 is an abundant number, since it is smaller than the sum of its proper divisors (889644).

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

450996 is a wasteful number, since it uses less digits than its factorization.

450996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 450996 is about 671.5623574918. The cubic root of 450996 is about 76.6874381861.

The spelling of 450996 in words is "four hundred fifty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 59 78 84 91 98 118 147 156 177 182 196 236 273 294 354 364 413 546 588 637 708 767 826 1092 1239 1274 1534 1652 1911 2301 2478 2548 2891 3068 3822 4602 4956 5369 5782 7644 8673 9204 10738 11564 16107 17346 21476 32214 34692 37583 64428 75166 112749 150332 225498 450996