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445322052 = 223277922369
BaseRepresentation
bin11010100010110…
…001001101000100
31011000221201000100
4122202301031010
51403000301202
6112104444100
714015114010
oct3242611504
91130851010
10445322052
1120941105a
12105179630
137134c696
1443201540
152916741c
hex1a8b1344

445322052 has 72 divisors (see below), whose sum is σ = 1302828800. Its totient is φ = 125618688.

The previous prime is 445322051. The next prime is 445322077. The reversal of 445322052 is 250223544.

It is a happy number.

445322052 is a `hidden beast` number, since 4 + 453 + 2 + 205 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (445322051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8724 + ... + 31092.

Almost surely, 2445322052 is an apocalyptic number.

445322052 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 445322052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651414400).

445322052 is an abundant number, since it is smaller than the sum of its proper divisors (857506748).

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

445322052 is a wasteful number, since it uses less digits than its factorization.

445322052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22465 (or 22460 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 445322052 is about 21102.6550936132. The cubic root of 445322052 is about 763.6448030453.

Adding to 445322052 its reverse (250223544), we get a palindrome (695545596).

The spelling of 445322052 in words is "four hundred forty-five million, three hundred twenty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4977 6636 9954 19908 22369 44738 67107 89476 134214 156583 201321 268428 313166 402642 469749 626332 805284 939498 1409247 1767151 1878996 2818494 3534302 5301453 5636988 7068604 10602906 12370057 15904359 21205812 24740114 31808718 37110171 49480228 63617436 74220342 111330513 148440684 222661026 445322052