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474675968 = 28133143107
BaseRepresentation
bin11100010010101…
…111101100000000
31020002012001000102
4130102233230000
51433004112333
6115033541532
714522451644
oct3422575400
91202161012
10474675968
11223a40098
12112b748a8
1377459570
1447082c24
152ba14ae8
hex1c4afb00

474675968 has 144 divisors (see below), whose sum is σ = 1087865856. Its totient is φ = 205148160.

The previous prime is 474675961. The next prime is 474675977. The reversal of 474675968 is 869576474.

Its product of digits (10160640) is a multiple of the sum of its prime divisors (196).

It is not an unprimeable number, because it can be changed into a prime (474675961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4436171 + ... + 4436277.

It is an arithmetic number, because the mean of its divisors is an integer number (7554624).

Almost surely, 2474675968 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 474675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543932928).

474675968 is an abundant number, since it is smaller than the sum of its proper divisors (613189888).

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

474675968 is a wasteful number, since it uses less digits than its factorization.

474675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 56.

The square root of 474675968 is about 21787.0596455786. The cubic root of 474675968 is about 780.0679143145.

It can be divided in two parts, 47467 and 5968, that added together give a palindrome (53435).

The spelling of 474675968 in words is "four hundred seventy-four million, six hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 43 52 62 64 86 104 107 124 128 172 208 214 248 256 344 403 416 428 496 559 688 806 832 856 992 1118 1333 1376 1391 1612 1664 1712 1984 2236 2666 2752 2782 3224 3317 3328 3424 3968 4472 4601 5332 5504 5564 6448 6634 6848 7936 8944 9202 10664 11008 11128 12896 13268 13696 17329 17888 18404 21328 22256 25792 26536 27392 34658 35776 36808 42656 43121 44512 51584 53072 59813 69316 71552 73616 85312 86242 89024 103168 106144 119626 138632 142631 143104 147232 170624 172484 178048 212288 239252 277264 285262 294464 341248 344968 356096 424576 478504 554528 570524 588928 689936 849152 957008 1109056 1141048 1177856 1379872 1854203 1914016 2218112 2282096 2759744 3708406 3828032 4436224 4564192 5519488 7416812 7656064 9128384 11038976 14833624 15312128 18256768 29667248 36513536 59334496 118668992 237337984 474675968