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445613472 = 25324335983
BaseRepresentation
bin11010100011111…
…000010110100000
31011001111111202200
4122203320112200
51403034112342
6112115013200
714020436433
oct3243702640
91131444680
10445613472
1120959aaa7
1210529a200
1371422215
144327981a
15291c394c
hex1a8f85a0

445613472 has 72 divisors (see below), whose sum is σ = 1296719424. Its totient is φ = 145079424.

The previous prime is 445613407. The next prime is 445613491. The reversal of 445613472 is 274316544.

445613472 is a `hidden beast` number, since 4 + 456 + 134 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5608 + ... + 30375.

It is an arithmetic number, because the mean of its divisors is an integer number (18009992).

Almost surely, 2445613472 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 445613472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648359712).

445613472 is an abundant number, since it is smaller than the sum of its proper divisors (851105952).

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

445613472 is a wasteful number, since it uses less digits than its factorization.

445613472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36042 (or 36031 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 445613472 is about 21109.5587826937. The cubic root of 445613472 is about 763.8113438227.

The spelling of 445613472 in words is "four hundred forty-five million, six hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 35983 71966 107949 143932 215898 287864 323847 431796 575728 647694 863592 1151456 1295388 1547269 1727184 2590776 3094538 3454368 4641807 5181552 6189076 9283614 10363104 12378152 13925421 18567228 24756304 27850842 37134456 49512608 55701684 74268912 111403368 148537824 222806736 445613472