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454196128 = 25312272017
BaseRepresentation
bin11011000100100…
…111101110100000
31011122122112221211
4123010213232200
51412233234003
6113022555504
714153413651
oct3304475640
91148575854
10454196128
11213422301
12108138b94
1373138909
1444471528
1529d1b96d
hex1b127ba0

454196128 has 48 divisors (see below), whose sum is σ = 927569664. Its totient is φ = 218695680.

The previous prime is 454196059. The next prime is 454196129. The reversal of 454196128 is 821691454.

It is not an unprimeable number, because it can be changed into a prime (454196129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224176 + ... + 226192.

It is an arithmetic number, because the mean of its divisors is an integer number (19324368).

Almost surely, 2454196128 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 454196128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463784832).

454196128 is an abundant number, since it is smaller than the sum of its proper divisors (473373536).

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

454196128 is a wasteful number, since it uses less digits than its factorization.

454196128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2277 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 454196128 is about 21311.8776272763. The cubic root of 454196128 is about 768.6839429613.

The spelling of 454196128 in words is "four hundred fifty-four million, one hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 227 248 454 496 908 992 1816 2017 3632 4034 7037 7264 8068 14074 16136 28148 32272 56296 62527 64544 112592 125054 225184 250108 457859 500216 915718 1000432 1831436 2000864 3662872 7325744 14193629 14651488 28387258 56774516 113549032 227098064 454196128