Search a number
-
+
470608056 = 23342979317
BaseRepresentation
bin11100000011001…
…110100010111000
31012210112100220000
4130003032202320
51430433424211
6114410433000
714443050102
oct3403164270
91183470800
10470608056
11221711886
12111732760
1376663b09
1446704572
152b4ae656
hex1c0ce8b8

470608056 has 160 divisors (see below), whose sum is σ = 1385208000. Its totient is φ = 149071104.

The previous prime is 470608051. The next prime is 470608081. The reversal of 470608056 is 650806074.

It is a happy number.

470608056 is a `hidden beast` number, since 47 + 0 + 608 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 470608056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470608051) 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 39 ways as a sum of consecutive naturals, for example, 1484410 + ... + 1484726.

It is an arithmetic number, because the mean of its divisors is an integer number (8657550).

Almost surely, 2470608056 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 470608056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692604000).

470608056 is an abundant number, since it is smaller than the sum of its proper divisors (914599944).

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

470608056 is a wasteful number, since it uses less digits than its factorization.

470608056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 470608056 is about 21693.5026217529. The cubic root of 470608056 is about 777.8331576773.

The spelling of 470608056 in words is "four hundred seventy million, six hundred eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 79 81 87 108 116 158 162 174 216 232 237 261 316 317 324 348 474 522 632 634 648 696 711 783 948 951 1044 1268 1422 1566 1896 1902 2088 2133 2291 2349 2536 2844 2853 3132 3804 4266 4582 4698 5688 5706 6264 6399 6873 7608 8532 8559 9164 9193 9396 11412 12798 13746 17064 17118 18328 18386 18792 20619 22824 25043 25596 25677 27492 27579 34236 36772 41238 50086 51192 51354 54984 55158 61857 68472 73544 75129 82476 82737 100172 102708 110316 123714 150258 164952 165474 185571 200344 205416 220632 225387 247428 248211 300516 330948 371142 450774 494856 496422 601032 661896 676161 726247 742284 744633 901548 992844 1352322 1452494 1484568 1489266 1803096 1985688 2028483 2178741 2704644 2904988 2978532 4056966 4357482 5409288 5809976 5957064 6536223 8113932 8714964 13072446 16227864 17429928 19608669 26144892 39217338 52289784 58826007 78434676 117652014 156869352 235304028 470608056