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470050900 = 225211569751
BaseRepresentation
bin11100000001000…
…110100001010100
31012202111001121121
4130001012201110
51430313112100
6114350453324
714435236534
oct3401064124
91182431547
10470050900
11221371220
12111504244
13764ca337
14465db4c4
152b3ee51a
hex1c046854

470050900 has 72 divisors (see below), whose sum is σ = 1116178560. Its totient is φ = 170400000.

The previous prime is 470050897. The next prime is 470050907. The reversal of 470050900 is 9050074.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470050907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625525 + ... + 626275.

It is an arithmetic number, because the mean of its divisors is an integer number (15502480).

Almost surely, 2470050900 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 470050900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558089280).

470050900 is an abundant number, since it is smaller than the sum of its proper divisors (646127660).

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

470050900 is a wasteful number, since it uses less digits than its factorization.

470050900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 470050900 is about 21680.6572778595. The cubic root of 470050900 is about 777.5260758479.

The spelling of 470050900 in words is "four hundred seventy million, fifty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 569 751 1100 1138 1502 2276 2845 3004 3755 5690 6259 7510 8261 11380 12518 14225 15020 16522 18775 25036 28450 31295 33044 37550 41305 56900 62590 75100 82610 125180 156475 165220 206525 312950 413050 427319 625900 826100 854638 1709276 2136595 4273190 4700509 8546380 9401018 10682975 18802036 21365950 23502545 42731900 47005090 94010180 117512725 235025450 470050900