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454968 = 23327189
BaseRepresentation
bin1101111000100111000
3212010002200
41233010320
5104024333
613430200
73603303
oct1570470
9763080
10454968
11290908
1219b360
1312c117
14bbb3a
158ec13
hex6f138

454968 has 48 divisors (see below), whose sum is σ = 1263600. Its totient is φ = 147840.

The previous prime is 454967. The next prime is 454969. The reversal of 454968 is 869454.

It is an interprime number because it is at equal distance from previous prime (454967) and next prime (454969).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5068 + ... + 5156.

It is an arithmetic number, because the mean of its divisors is an integer number (26325).

2454968 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 454968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631800).

454968 is an abundant number, since it is smaller than the sum of its proper divisors (808632).

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

454968 is a wasteful number, since it uses less digits than its factorization.

454968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 454968 is about 674.5131577664. The cubic root of 454968 is about 76.9119136621.

The spelling of 454968 in words is "four hundred fifty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 89 142 178 213 267 284 356 426 534 568 639 712 801 852 1068 1278 1602 1704 2136 2556 3204 5112 6319 6408 12638 18957 25276 37914 50552 56871 75828 113742 151656 227484 454968