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445116474 = 2321117223593
BaseRepresentation
bin11010100001111…
…111000000111010
31011000120021000100
4122201333000322
51402422211344
6112100220230
714013266445
oct3241770072
91130507010
10445116474
11209290660
1210509a676
13712a9c3a
144318a65c
1529126569
hex1a87f03a

445116474 has 96 divisors (see below), whose sum is σ = 1120863744. Its totient is φ = 126167040.

The previous prime is 445116437. The next prime is 445116487. The reversal of 445116474 is 474611544.

It is a happy number.

445116474 is a `hidden beast` number, since 4 + 4 + 5 + 1 + 1 + 647 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750322 + ... + 750914.

It is an arithmetic number, because the mean of its divisors is an integer number (11675664).

Almost surely, 2445116474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445116474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560431872).

445116474 is an abundant number, since it is smaller than the sum of its proper divisors (675747270).

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

445116474 is a wasteful number, since it uses less digits than its factorization.

445116474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 849 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 445116474 is about 21097.7836276705. The cubic root of 445116474 is about 763.5272755659.

The spelling of 445116474 in words is "four hundred forty-five million, one hundred sixteen thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 223 306 374 446 561 593 669 1122 1186 1338 1683 1779 2007 2453 3366 3558 3791 4014 4906 5337 6523 7359 7582 10081 10674 11373 13046 14718 19569 20162 22077 22746 30243 34119 39138 41701 44154 58707 60486 68238 83402 90729 110891 117414 125103 132239 181458 221782 250206 264478 332673 375309 396717 665346 750618 793434 998019 1190151 1454629 1996038 2248063 2380302 2909258 4363887 4496126 6744189 8727774 13091661 13488378 20232567 24728693 26183322 40465134 49457386 74186079 148372158 222558237 445116474