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473054624 = 257447131
BaseRepresentation
bin11100001100100…
…011110110100000
31012222010122221122
4130030203312200
51432100221444
6114535111412
714502620000
oct3414436640
91188118848
10473054624
11223032a39
12112512568
137700c5a3
1446b80000
152b7e44ee
hex1c323da0

473054624 has 120 divisors (see below), whose sum is σ = 1118069568. Its totient is φ = 196909440.

The previous prime is 473054623. The next prime is 473054629. The reversal of 473054624 is 426450374.

It is not an unprimeable number, because it can be changed into a prime (473054623) 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 19 ways as a sum of consecutive naturals, for example, 3611039 + ... + 3611169.

Almost surely, 2473054624 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 473054624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559034784).

473054624 is an abundant number, since it is smaller than the sum of its proper divisors (645014944).

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

473054624 is an equidigital number, since it uses as much as digits as its factorization.

473054624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 473054624 is about 21749.8189417751. The cubic root of 473054624 is about 779.1787455183.

The spelling of 473054624 in words is "four hundred seventy-three million, fifty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 94 98 112 131 188 196 224 262 329 343 376 392 524 658 686 752 784 917 1048 1316 1372 1504 1568 1834 2096 2303 2401 2632 2744 3668 4192 4606 4802 5264 5488 6157 6419 7336 9212 9604 10528 10976 12314 12838 14672 16121 18424 19208 24628 25676 29344 32242 36848 38416 43099 44933 49256 51352 64484 73696 76832 86198 89866 98512 102704 112847 128968 172396 179732 197024 205408 225694 257936 301693 314531 344792 359464 451388 515872 603386 629062 689584 718928 902776 1206772 1258124 1379168 1437856 1805552 2111851 2413544 2516248 3611104 4223702 4827088 5032496 8447404 9654176 10064992 14782957 16894808 29565914 33789616 59131828 67579232 118263656 236527312 473054624