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445410252 = 2236721821
BaseRepresentation
bin11010100011000…
…110101111001100
31011001010012000000
4122203012233030
51403011112002
6112110404300
714015632110
oct3243065714
91131105000
10445410252
11209471351
12105200690
1371380881
1443225740
152918361c
hex1a8c6bcc

445410252 has 84 divisors (see below), whose sum is σ = 1335680976. Its totient is φ = 127254240.

The previous prime is 445410197. The next prime is 445410257. The reversal of 445410252 is 252014544.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (445410257) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9502 + ... + 31322.

It is an arithmetic number, because the mean of its divisors is an integer number (15900964).

Almost surely, 2445410252 is an apocalyptic number.

445410252 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 445410252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667840488).

445410252 is an abundant number, since it is smaller than the sum of its proper divisors (890270724).

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

445410252 is a wasteful number, since it uses less digits than its factorization.

445410252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21850 (or 21833 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 445410252 is about 21104.7447745762. The cubic root of 445410252 is about 763.6952152695.

Adding to 445410252 its reverse (252014544), we get a palindrome (697424796).

It can be divided in two parts, 4454 and 10252, that added together give a triangular number (14706 = T171).

The spelling of 445410252 in words is "four hundred forty-five million, four hundred ten thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6804 10206 20412 21821 43642 65463 87284 130926 152747 196389 261852 305494 392778 458241 589167 610988 785556 916482 1178334 1374723 1767501 1832964 2356668 2749446 3535002 4124169 5302503 5498892 7070004 8248338 10605006 12372507 15907509 16496676 21210012 24745014 31815018 37117521 49490028 63630036 74235042 111352563 148470084 222705126 445410252