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472262274 = 232112297477
BaseRepresentation
bin11100001001100…
…010011010000010
31012220122102001100
4130021202122002
51431344343044
6114510115230
714463106641
oct3411423202
91186572040
10472262274
11222641700
121121abb16
1376ac2a43
1446a15358
152b6d9869
hex1c262682

472262274 has 72 divisors (see below), whose sum is σ = 1163651580. Its totient is φ = 138156480.

The previous prime is 472262221. The next prime is 472262279.

472262274 is a `hidden beast` number, since 4 + 7 + 22 + 622 + 7 + 4 = 666.

472262274 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 430853049 + 41409225 = 20757^2 + 6435^2 .

It is not an unprimeable number, because it can be changed into a prime (472262279) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 59424 + ... + 66900.

Almost surely, 2472262274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472262274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581825790).

472262274 is an abundant number, since it is smaller than the sum of its proper divisors (691389306).

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

472262274 is a wasteful number, since it uses less digits than its factorization.

472262274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536 (or 7522 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 472262274 is about 21731.5962138081. The cubic root of 472262274 is about 778.7434699943.

The spelling of 472262274 in words is "four hundred seventy-two million, two hundred sixty-two thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 174 198 242 261 319 363 522 638 726 957 1089 1914 2178 2871 3509 5742 7018 7477 10527 14954 21054 22431 31581 44862 63162 67293 82247 134586 164494 216833 246741 433666 493482 650499 740223 904717 1300998 1480446 1809434 1951497 2385163 2714151 3902994 4770326 5428302 7155489 8142453 14310978 16284906 21466467 26236793 42932934 52473586 78710379 157420758 236131137 472262274