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445939452 = 223374114387
BaseRepresentation
bin11010100101000…
…111111011111100
31011002010001221000
4122211013323330
51403130030302
6112130010300
714023265010
oct3245077374
91132101830
10445939452
112097a2a02
12105416990
13715076ca
1443322540
152923a31c
hex1a947efc

445939452 has 96 divisors (see below), whose sum is σ = 1353623040. Its totient is φ = 124295040.

The previous prime is 445939451. The next prime is 445939469. The reversal of 445939452 is 254939544.

445939452 is a `hidden beast` number, since 4 + 4 + 593 + 9 + 4 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 445939398 and 445939407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445939451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23803 + ... + 38189.

It is an arithmetic number, because the mean of its divisors is an integer number (14100240).

Almost surely, 2445939452 is an apocalyptic number.

445939452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445939452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676811520).

445939452 is an abundant number, since it is smaller than the sum of its proper divisors (907683588).

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

445939452 is a wasteful number, since it uses less digits than its factorization.

445939452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14448 (or 14440 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 445939452 is about 21117.2785178394. The cubic root of 445939452 is about 763.9975489446.

It can be divided in two parts, 44593 and 9452, that added together give a palindrome (54045).

The spelling of 445939452 in words is "four hundred forty-five million, nine hundred thirty-nine thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 82 84 108 123 126 164 189 246 252 287 369 378 492 574 738 756 861 1107 1148 1476 1722 2214 2583 3444 4428 5166 7749 10332 14387 15498 28774 30996 43161 57548 86322 100709 129483 172644 201418 258966 302127 388449 402836 517932 589867 604254 776898 906381 1179734 1208508 1553796 1769601 1812762 2359468 2719143 3539202 3625524 4129069 5308803 5438286 7078404 8258138 10617606 10876572 12387207 15926409 16516276 21235212 24774414 31852818 37161621 49548828 63705636 74323242 111484863 148646484 222969726 445939452