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470394500 = 22532932441
BaseRepresentation
bin11100000010011…
…010011010000100
31012210010111221112
4130002122122010
51430410111000
6114402104152
714441200352
oct3402323204
91183114845
10470394500
11221586394
1211164b058
13765ba854
144668a7d2
152b46b235
hex1c09a684

470394500 has 48 divisors (see below), whose sum is σ = 1062799920. Its totient is φ = 181664000.

The previous prime is 470394499. The next prime is 470394521. The reversal of 470394500 is 5493074.

It can be written as a sum of positive squares in 8 ways, for example, as 44302336 + 426092164 = 6656^2 + 20642^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721 + ... + 30720.

It is an arithmetic number, because the mean of its divisors is an integer number (22141665).

Almost surely, 2470394500 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 470394500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531399960).

470394500 is an abundant number, since it is smaller than the sum of its proper divisors (592405420).

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

470394500 is a wasteful number, since it uses less digits than its factorization.

470394500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32489 (or 32477 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 470394500 is about 21688.5799442933. The cubic root of 470394500 is about 777.7154829170.

The spelling of 470394500 in words is "four hundred seventy million, three hundred ninety-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 725 1450 2900 3625 7250 14500 32441 64882 129764 162205 324410 648820 811025 940789 1622050 1881578 3244100 3763156 4055125 4703945 8110250 9407890 16220500 18815780 23519725 47039450 94078900 117598625 235197250 470394500