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474475056 = 243111675381
BaseRepresentation
bin11100010001111…
…110101000110000
31020001210211102020
4130101332220300
51432431200211
6115025351440
714520654126
oct3421765060
91201724366
10474475056
11223913150
12112a98580
13773b8c93
144702d916
152b9c5306
hex1c47ea30

474475056 has 80 divisors (see below), whose sum is σ = 1345413888. Its totient is φ = 142892800.

The previous prime is 474475051. The next prime is 474475063. The reversal of 474475056 is 650574474.

It is a junction number, because it is equal to n+sod(n) for n = 474474999 and 474475017.

It is not an unprimeable number, because it can be changed into a prime (474475051) 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, 85486 + ... + 90866.

Almost surely, 2474475056 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 474475056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672706944).

474475056 is an abundant number, since it is smaller than the sum of its proper divisors (870938832).

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

474475056 is a wasteful number, since it uses less digits than its factorization.

474475056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The square root of 474475056 is about 21782.4483472359. The cubic root of 474475056 is about 779.9578412454.

It can be divided in two parts, 4744 and 75056, that added together give a triangular number (79800 = T399).

The spelling of 474475056 in words is "four hundred seventy-four million, four hundred seventy-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 167 176 264 334 501 528 668 1002 1336 1837 2004 2672 3674 4008 5381 5511 7348 8016 10762 11022 14696 16143 21524 22044 29392 32286 43048 44088 59191 64572 86096 88176 118382 129144 177573 236764 258288 355146 473528 710292 898627 947056 1420584 1797254 2695881 2841168 3594508 5391762 7189016 9884897 10783524 14378032 19769794 21567048 29654691 39539588 43134096 59309382 79079176 118618764 158158352 237237528 474475056