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445689088 = 2813157853
BaseRepresentation
bin11010100100001…
…010110100000000
31011001122100111021
4122210022310000
51403044022323
6112120355224
714021203045
oct3244126400
91131570437
10445689088
11209641899
12105315b14
137144a770
14432991cc
15291db05d
hex1a90ad00

445689088 has 72 divisors (see below), whose sum is σ = 965303528. Its totient is φ = 204152832.

The previous prime is 445689067. The next prime is 445689089. The reversal of 445689088 is 880986544.

It can be written as a sum of positive squares in 4 ways, for example, as 14379264 + 431309824 = 3792^2 + 20768^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445689089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522070 + ... + 522922.

Almost surely, 2445689088 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 445689088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482651764).

445689088 is an abundant number, since it is smaller than the sum of its proper divisors (519614440).

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

445689088 is a wasteful number, since it uses less digits than its factorization.

445689088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The square root of 445689088 is about 21111.3497436805. The cubic root of 445689088 is about 763.8545450091.

The spelling of 445689088 in words is "four hundred forty-five million, six hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 157 208 256 314 416 628 832 853 1256 1664 1706 2041 2512 3328 3412 4082 5024 6824 8164 10048 11089 13648 16328 20096 22178 27296 32656 40192 44356 54592 65312 88712 109184 130624 133921 177424 218368 261248 267842 354848 522496 535684 709696 1071368 1419392 1740973 2142736 2838784 3481946 4285472 6963892 8570944 13927784 17141888 27855568 34283776 55711136 111422272 222844544 445689088