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473057676 = 2232713197733
BaseRepresentation
bin11100001100100…
…100100110001100
31012222010211010200
4130030210212030
51432100321201
6114535133500
714502631620
oct3414444614
91188124120
10473057676
11223035263
12112514290
1377010ab0
1446b81180
152b7e5386
hex1c32498c

473057676 has 144 divisors (see below), whose sum is σ = 1481223744. Its totient is φ = 123959808.

The previous prime is 473057659. The next prime is 473057681. The reversal of 473057676 is 676750374.

473057676 is a `hidden beast` number, since 4 + 7 + 3 + 0 + 576 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645006 + ... + 645738.

It is an arithmetic number, because the mean of its divisors is an integer number (10286276).

Almost surely, 2473057676 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 473057676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740611872).

473057676 is an abundant number, since it is smaller than the sum of its proper divisors (1008166068).

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

473057676 is a wasteful number, since it uses less digits than its factorization.

473057676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 473057676 is about 21749.8891031656. The cubic root of 473057676 is about 779.1804211870.

The spelling of 473057676 in words is "four hundred seventy-three million, fifty-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 197 234 252 273 364 394 468 546 591 733 788 819 1092 1182 1379 1466 1638 1773 2199 2364 2561 2758 2932 3276 3546 4137 4398 5122 5131 5516 6597 7092 7683 8274 8796 9529 10244 10262 12411 13194 15366 15393 16548 17927 19058 20524 23049 24822 26388 28587 30732 30786 35854 38116 46098 46179 49644 53781 57174 61572 66703 71708 85761 92196 92358 107562 114348 133406 144401 161343 171522 184716 200109 215124 266812 288802 322686 343044 400218 433203 577604 600327 645372 800436 866406 1010807 1200654 1299609 1732812 1877213 2021614 2401308 2599218 3032421 3754426 4043228 5198436 5631639 6064842 7508852 9097263 11263278 12129684 13140491 16894917 18194526 22526556 26280982 33789834 36389052 39421473 52561964 67579668 78842946 118264419 157685892 236528838 473057676