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472741056 = 2633793463
BaseRepresentation
bin11100001011010…
…111010011000000
31012221112201211000
4130023113103000
51432010203211
6114524252000
714500142544
oct3413272300
91187481730
10472741056
11222939397
121123a1000
1376c2c948
1446adba24
152b781656
hex1c2d74c0

472741056 has 112 divisors (see below), whose sum is σ = 1407769600. Its totient is φ = 155540736.

The previous prime is 472741051. The next prime is 472741063. The reversal of 472741056 is 650147274.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 472741056.

It is not an unprimeable number, because it can be changed into a prime (472741051) 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, 134781 + ... + 138243.

Almost surely, 2472741056 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 472741056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703884800).

472741056 is an abundant number, since it is smaller than the sum of its proper divisors (935028544).

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

472741056 is a wasteful number, since it uses less digits than its factorization.

472741056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 472741056 is about 21742.6092270454. The cubic root of 472741056 is about 779.0065458661.

The spelling of 472741056 in words is "four hundred seventy-two million, seven hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 1264 1422 1728 1896 2133 2528 2844 3463 3792 4266 5056 5688 6926 7584 8532 10389 11376 13852 15168 17064 20778 22752 27704 31167 34128 41556 45504 55408 62334 68256 83112 93501 110816 124668 136512 166224 187002 221632 249336 273577 332448 374004 498672 547154 664896 748008 820731 997344 1094308 1496016 1641462 1994688 2188616 2462193 2992032 3282924 4377232 4924386 5984064 6565848 7386579 8754464 9848772 13131696 14773158 17508928 19697544 26263392 29546316 39395088 52526784 59092632 78790176 118185264 157580352 236370528 472741056