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454426020 = 2232517314593
BaseRepresentation
bin11011000101011…
…111110110100100
31011200002020022100
4123011133312210
51412313113040
6113031532100
714155362126
oct3305376644
91150066270
10454426020
11213569aa4
1210822a030
13731b9449
14444d1216
1529d64b30
hex1b15fda4

454426020 has 72 divisors (see below), whose sum is σ = 1386488376. Its totient is φ = 120471552.

The previous prime is 454425991. The next prime is 454426043. The reversal of 454426020 is 20624454.

454426020 is a `hidden beast` number, since 4 + 54 + 4 + 2 + 602 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43877376 + 410548644 = 6624^2 + 20262^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23844 + ... + 38436.

It is an arithmetic number, because the mean of its divisors is an integer number (19256783).

Almost surely, 2454426020 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 454426020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693244188).

454426020 is an abundant number, since it is smaller than the sum of its proper divisors (932062356).

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

454426020 is a wasteful number, since it uses less digits than its factorization.

454426020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14781 (or 14776 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 454426020 is about 21317.2704631714. The cubic root of 454426020 is about 768.8136112344.

The spelling of 454426020 in words is "four hundred fifty-four million, four hundred twenty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 5190 6228 7785 10380 14593 15570 29186 31140 43779 58372 72965 87558 131337 145930 175116 218895 262674 291860 437790 525348 656685 875580 1313370 2524589 2626740 5049178 7573767 10098356 12622945 15147534 22721301 25245890 30295068 37868835 45442602 50491780 75737670 90885204 113606505 151475340 227213010 454426020