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454050816 = 2103612423
BaseRepresentation
bin11011000100000…
…100010000000000
31011122101011121220
4123010010100000
51412214111231
6113015515040
714152240212
oct3304042000
91148334556
10454050816
1121333310a
12108088a80
13730b772b
14444345b2
1529cdd896
hex1b104400

454050816 has 88 divisors (see below), whose sum is σ = 1230558144. Its totient is φ = 148807680.

The previous prime is 454050799. The next prime is 454050833. The reversal of 454050816 is 618050454.

It is an interprime number because it is at equal distance from previous prime (454050799) and next prime (454050833).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186181 + ... + 188603.

Almost surely, 2454050816 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 454050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615279072).

454050816 is an abundant number, since it is smaller than the sum of its proper divisors (776507328).

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

454050816 is a wasteful number, since it uses less digits than its factorization.

454050816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 454050816 is about 21308.4681758216. The cubic root of 454050816 is about 768.6019586170.

The spelling of 454050816 in words is "four hundred fifty-four million, fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1464 1536 1952 2423 2928 3072 3904 4846 5856 7269 7808 9692 11712 14538 15616 19384 23424 29076 31232 38768 46848 58152 62464 77536 93696 116304 147803 155072 187392 232608 295606 310144 443409 465216 591212 620288 886818 930432 1182424 1240576 1773636 1860864 2364848 2481152 3547272 3721728 4729696 7094544 7443456 9459392 14189088 18918784 28378176 37837568 56756352 75675136 113512704 151350272 227025408 454050816