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454149248 = 27721937103
BaseRepresentation
bin11011000100011…
…100010010000000
31011122120011122112
4123010130102000
51412230233443
6113021554452
714153130200
oct3304342200
91148504575
10454149248
112133a0063
12108115a28
1373120487
144445c400
1529d0cb18
hex1b11c480

454149248 has 192 divisors, whose sum is σ = 1148846400. Its totient is φ = 177666048.

The previous prime is 454149233. The next prime is 454149301. The reversal of 454149248 is 842941454.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4409165 + ... + 4409267.

It is an arithmetic number, because the mean of its divisors is an integer number (5983575).

Almost surely, 2454149248 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 454149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574423200).

454149248 is an abundant number, since it is smaller than the sum of its proper divisors (694697152).

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

454149248 is a wasteful number, since it uses less digits than its factorization.

454149248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 454149248 is about 21310.7777427291. Note that the first 4 decimals coincide. The cubic root of 454149248 is about 768.6574953976.

The spelling of 454149248 in words is "four hundred fifty-four million, one hundred forty-nine thousand, two hundred forty-eight".