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474728020 = 225134214337
BaseRepresentation
bin11100010010111…
…100011001010100
31020002021200102021
4130102330121110
51433012244040
6115035022524
714523056464
oct3422743124
91202250367
10474728020
11223a76208
12112b9aa44
1377477170
1447097ba4
152ba2524a
hex1c4bc654

474728020 has 48 divisors (see below), whose sum is σ = 1076413968. Its totient is φ = 174827520.

The previous prime is 474728011. The next prime is 474728021. The reversal of 474728020 is 20827474.

It can be written as a sum of positive squares in 8 ways, for example, as 320123664 + 154604356 = 17892^2 + 12434^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474728021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107292 + ... + 111628.

It is an arithmetic number, because the mean of its divisors is an integer number (22425291).

Almost surely, 2474728020 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 474728020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538206984).

474728020 is an abundant number, since it is smaller than the sum of its proper divisors (601685948).

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

474728020 is a wasteful number, since it uses less digits than its factorization.

474728020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4778 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 474728020 is about 21788.2541751284. The cubic root of 474728020 is about 780.0964268253.

The spelling of 474728020 in words is "four hundred seventy-four million, seven hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 421 842 1684 2105 4210 4337 5473 8420 8674 10946 17348 21685 21892 27365 43370 54730 56381 86740 109460 112762 225524 281905 563810 1127620 1825877 3651754 7303508 9129385 18258770 23736401 36517540 47472802 94945604 118682005 237364010 474728020