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470829312 = 2832204353
BaseRepresentation
bin11100000100000…
…100100100000000
31012210221121101200
4130010010210000
51431013014222
6114415301200
714444661132
oct3404044400
91183847350
10470829312
11221853038
1211181a800
1376710735
1446761052
152b504eac
hex1c104900

470829312 has 54 divisors (see below), whose sum is σ = 1357523622. Its totient is φ = 156942336.

The previous prime is 470829299. The next prime is 470829347. The reversal of 470829312 is 213928074.

It can be written as a sum of positive squares in only one way, i.e., 470716416 + 112896 = 21696^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 99873 + ... + 104480.

Almost surely, 2470829312 is an apocalyptic number.

It is an amenable number.

470829312 is an abundant number, since it is smaller than the sum of its proper divisors (886694310).

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

470829312 is a wasteful number, since it uses less digits than its factorization.

470829312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204375 (or 204358 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 470829312 is about 21698.6016139289. The cubic root of 470829312 is about 777.9550377903.

The spelling of 470829312 in words is "four hundred seventy million, eight hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 204353 408706 613059 817412 1226118 1634824 1839177 2452236 3269648 3678354 4904472 6539296 7356708 9808944 13078592 14713416 19617888 26157184 29426832 39235776 52314368 58853664 78471552 117707328 156943104 235414656 470829312