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454026564 = 223212611849
BaseRepresentation
bin11011000011111…
…110010101000100
31011122022221100200
4123003332111010
51412212322224
6113015210500
714152106415
oct3303762504
91148287320
10454026564
11213316972
12108076a30
13730a9694
144442980c
1529cd65c9
hex1b0fe544

454026564 has 18 divisors (see below), whose sum is σ = 1147678350. Its totient is φ = 151342176.

The previous prime is 454026499. The next prime is 454026571. The reversal of 454026564 is 465620454.

It can be written as a sum of positive squares in only one way, i.e., 347524164 + 106502400 = 18642^2 + 10320^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×4540265642 = 412280241635292192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12611849 = 454026564 / (4 + 5 + 4 + 0 + 2 + 6 + 5 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6305889 + ... + 6305960.

Almost surely, 2454026564 is an apocalyptic number.

It is an amenable number.

454026564 is an abundant number, since it is smaller than the sum of its proper divisors (693651786).

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

454026564 is a wasteful number, since it uses less digits than its factorization.

454026564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12611859 (or 12611854 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 454026564 is about 21307.8990986911. The cubic root of 454026564 is about 768.5882740498.

The spelling of 454026564 in words is "four hundred fifty-four million, twenty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 12611849 25223698 37835547 50447396 75671094 113506641 151342188 227013282 454026564