Search a number
-
+
472426056 = 2332171093541
BaseRepresentation
bin11100001010001…
…010011001001000
31012220221201201100
4130022022121020
51431420113211
6114513421400
714464361304
oct3412123110
91186851640
10472426056
11222743763
1211226a860
1376b4c45b
1446a58d04
152b71d156
hex1c28a648

472426056 has 96 divisors (see below), whose sum is σ = 1367566200. Its totient is φ = 146810880.

The previous prime is 472426043. The next prime is 472426061. The reversal of 472426056 is 650624274.

472426056 is a `hidden beast` number, since 4 + 7 + 2 + 42 + 605 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 456505956 + 15920100 = 21366^2 + 3990^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 472426056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131646 + ... + 135186.

Almost surely, 2472426056 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 472426056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683783100).

472426056 is an abundant number, since it is smaller than the sum of its proper divisors (895140144).

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

472426056 is a wasteful number, since it uses less digits than its factorization.

472426056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 472426056 is about 21735.3641791436. The cubic root of 472426056 is about 778.8334831280.

The spelling of 472426056 in words is "four hundred seventy-two million, four hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 109 136 153 204 218 306 327 408 436 612 654 872 981 1224 1308 1853 1962 2616 3541 3706 3924 5559 7082 7412 7848 10623 11118 14164 14824 16677 21246 22236 28328 31869 33354 42492 44472 60197 63738 66708 84984 120394 127476 133416 180591 240788 254952 361182 385969 481576 541773 722364 771938 1083546 1157907 1444728 1543876 2167092 2315814 3087752 3473721 4334184 4631628 6561473 6947442 9263256 13122946 13894884 19684419 26245892 27789768 39368838 52491784 59053257 78737676 118106514 157475352 236213028 472426056