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447264740 = 2251315710957
BaseRepresentation
bin11010101010001…
…011011111100100
31011011121101212202
4122222023133210
51403444432430
6112214234032
714040454556
oct3252133744
91134541782
10447264740
1120a51868a
12105955918
137187c9c0
14435894d6
15293ecd45
hex1aa8b7e4

447264740 has 48 divisors (see below), whose sum is σ = 1018042032. Its totient is φ = 164077056.

The previous prime is 447264733. The next prime is 447264751. The reversal of 447264740 is 47462744.

It can be written as a sum of positive squares in 8 ways, for example, as 41886784 + 405377956 = 6472^2 + 20134^2 .

It is a junction number, because it is equal to n+sod(n) for n = 447264694 and 447264703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35342 + ... + 46298.

It is an arithmetic number, because the mean of its divisors is an integer number (21209209).

Almost surely, 2447264740 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 447264740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509021016).

447264740 is an abundant number, since it is smaller than the sum of its proper divisors (570777292).

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

447264740 is a wasteful number, since it uses less digits than its factorization.

447264740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11136 (or 11134 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 38.

The square root of 447264740 is about 21148.6344712844. The cubic root of 447264740 is about 764.7536421755.

The spelling of 447264740 in words is "four hundred forty-seven million, two hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 628 785 1570 2041 3140 4082 8164 10205 10957 20410 21914 40820 43828 54785 109570 142441 219140 284882 569764 712205 1424410 1720249 2848820 3440498 6880996 8601245 17202490 22363237 34404980 44726474 89452948 111816185 223632370 447264740