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450653456 = 241119313267
BaseRepresentation
bin11010110111000…
…110110100010000
31011101222120022202
4122313012310100
51410331402311
6112415022332
714111330321
oct3267066420
91141876282
10450653456
11211422680
12106b0a9a8
1372498266
1443bcc448
152986be3b
hex1adc6d10

450653456 has 40 divisors (see below), whose sum is σ = 957525024. Its totient is φ = 203765760.

The previous prime is 450653453. The next prime is 450653461. The reversal of 450653456 is 654356054.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (450653453) 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, 27335 + ... + 40601.

Almost surely, 2450653456 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 450653456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478762512).

450653456 is an abundant number, since it is smaller than the sum of its proper divisors (506871568).

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

450653456 is a wasteful number, since it uses less digits than its factorization.

450653456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13479 (or 13473 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The square root of 450653456 is about 21228.5999538359. The cubic root of 450653456 is about 766.6801785478.

The spelling of 450653456 in words is "four hundred fifty million, six hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 193 386 772 1544 2123 3088 4246 8492 13267 16984 26534 33968 53068 106136 145937 212272 291874 583748 1167496 2334992 2560531 5121062 10242124 20484248 28165841 40968496 56331682 112663364 225326728 450653456