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470655000 = 23325410459
BaseRepresentation
bin11100000011011…
…010000000011000
31012210121202021200
4130003122000120
51430441430000
6114411434200
714443334004
oct3403320030
91183552250
10470655000
11221744082
12111755960
137667c2aa
1446717704
152b4bd500
hex1c0da018

470655000 has 120 divisors (see below), whose sum is σ = 1593005700. Its totient is φ = 125496000.

The previous prime is 470654993. The next prime is 470655001. The reversal of 470655000 is 556074.

470655000 is a `hidden beast` number, since 4 + 7 + 0 + 655 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4706550002 = 443032258050000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470655001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39771 + ... + 50229.

Almost surely, 2470655000 is an apocalyptic number.

470655000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470655000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796502850).

470655000 is an abundant number, since it is smaller than the sum of its proper divisors (1122350700).

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

470655000 is a wasteful number, since it uses less digits than its factorization.

470655000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10491 (or 10469 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 470655000 is about 21694.5845777235. The cubic root of 470655000 is about 777.8590202362.

The spelling of 470655000 in words is "four hundred seventy million, six hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 10459 11250 15000 20918 22500 31377 41836 45000 52295 62754 83672 94131 104590 125508 156885 188262 209180 251016 261475 313770 376524 418360 470655 522950 627540 753048 784425 941310 1045900 1255080 1307375 1568850 1882620 2091800 2353275 2614750 3137700 3765240 3922125 4706550 5229500 6275400 6536875 7844250 9413100 10459000 11766375 13073750 15688500 18826200 19610625 23532750 26147500 31377000 39221250 47065500 52295000 58831875 78442500 94131000 117663750 156885000 235327500 470655000