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454426104 = 233116432677
BaseRepresentation
bin11011000101011…
…111110111111000
31011200002020102110
4123011133313320
51412313113404
6113031532320
714155362306
oct3305376770
91150066373
10454426104
1121356a070
1210822a0a0
13731b94b2
14444d1276
1529d64b89
hex1b15fdf8

454426104 has 64 divisors (see below), whose sum is σ = 1241735040. Its totient is φ = 137439360.

The previous prime is 454426103. The next prime is 454426129. The reversal of 454426104 is 401624454.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454426103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168414 + ... + 171090.

It is an arithmetic number, because the mean of its divisors is an integer number (19402110).

Almost surely, 2454426104 is an apocalyptic number.

454426104 is a gapful number since it is divisible by the number (44) 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 454426104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620867520).

454426104 is an abundant number, since it is smaller than the sum of its proper divisors (787308936).

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

454426104 is a wasteful number, since it uses less digits than its factorization.

454426104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 454426104 is about 21317.2724334048. The cubic root of 454426104 is about 768.8136586057.

The spelling of 454426104 in words is "four hundred fifty-four million, four hundred twenty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 643 1286 1929 2572 2677 3858 5144 5354 7073 7716 8031 10708 14146 15432 16062 21219 21416 28292 29447 32124 42438 56584 58894 64248 84876 88341 117788 169752 176682 235576 353364 706728 1721311 3442622 5163933 6885244 10327866 13770488 18934421 20655732 37868842 41311464 56803263 75737684 113606526 151475368 227213052 454426104