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465387228 = 223341227463
BaseRepresentation
bin11011101111010…
…011111011011100
31012102201010021000
4123233103323130
51423114342403
6114102510300
714350504035
oct3357237334
91172633230
10465387228
11219776349
1210ba35390
1375556677
1445b45a8c
152accc7a3
hex1bbd3edc

465387228 has 96 divisors (see below), whose sum is σ = 1244113920. Its totient is φ = 150353280.

The previous prime is 465387217. The next prime is 465387229. The reversal of 465387228 is 822783564.

465387228 is a `hidden beast` number, since 46 + 5 + 387 + 228 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465387229) 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, 1004925 + ... + 1005387.

It is an arithmetic number, because the mean of its divisors is an integer number (12959520).

Almost surely, 2465387228 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 465387228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622056960).

465387228 is an abundant number, since it is smaller than the sum of its proper divisors (778726692).

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

465387228 is a wasteful number, since it uses less digits than its factorization.

465387228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 736 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 465387228 is about 21572.8354186463. The cubic root of 465387228 is about 774.9460818542.

The spelling of 465387228 in words is "four hundred sixty-five million, three hundred eighty-seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 227 246 369 454 463 492 681 738 908 926 1107 1362 1389 1476 1852 2043 2214 2724 2778 4086 4167 4428 5556 6129 8172 8334 9307 12258 12501 16668 18614 18983 24516 25002 27921 37228 37966 50004 55842 56949 75932 83763 105101 111684 113898 167526 170847 210202 227796 251289 315303 335052 341694 420404 502578 512541 630606 683388 945909 1005156 1025082 1261212 1891818 2050164 2837727 3783636 4309141 5675454 8618282 11350908 12927423 17236564 25854846 38782269 51709692 77564538 116346807 155129076 232693614 465387228