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474284064 = 2534122939
BaseRepresentation
bin11100010001010…
…000000000100000
31020001110010102110
4130101100000200
51432404042224
6115021315320
714516230242
oct3421200040
91201403373
10474284064
112237a2701
12112a05b40
1377350077
1446dc0092
152b988929
hex1c450020

474284064 has 72 divisors (see below), whose sum is σ = 1276536240. Its totient is φ = 154186240.

The previous prime is 474284053. The next prime is 474284077. The reversal of 474284064 is 460482474.

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 11 ways as a sum of consecutive naturals, for example, 159907 + ... + 162845.

It is an arithmetic number, because the mean of its divisors is an integer number (17729670).

Almost surely, 2474284064 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 474284064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638268120).

474284064 is an abundant number, since it is smaller than the sum of its proper divisors (802252176).

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

474284064 is a wasteful number, since it uses less digits than its factorization.

474284064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 474284064 is about 21778.0638257858. The cubic root of 474284064 is about 779.8531742044.

The spelling of 474284064 in words is "four hundred seventy-four million, two hundred eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1681 1968 2939 3362 3936 5043 5878 6724 8817 10086 11756 13448 17634 20172 23512 26896 35268 40344 47024 53792 70536 80688 94048 120499 141072 161376 240998 282144 361497 481996 722994 963992 1445988 1927984 2891976 3855968 4940459 5783952 9880918 11567904 14821377 19761836 29642754 39523672 59285508 79047344 118571016 158094688 237142032 474284064