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445144524 = 22311171631217
BaseRepresentation
bin11010100010000…
…101110111001100
31011000121200111020
4122202011313030
51402424111044
6112100554140
714013444306
oct3242056714
91130550436
10445144524
112092aa740
121050b2950
13712b9936
1443196976
152912ea19
hex1a885dcc

445144524 has 96 divisors (see below), whose sum is σ = 1208100096. Its totient is φ = 126074880.

The previous prime is 445144489. The next prime is 445144529. The reversal of 445144524 is 425441544.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (445144529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365164 + ... + 366380.

It is an arithmetic number, because the mean of its divisors is an integer number (12584376).

Almost surely, 2445144524 is an apocalyptic number.

445144524 is a gapful number since it is divisible by the number (44) 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 445144524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604050048).

445144524 is an abundant number, since it is smaller than the sum of its proper divisors (762955572).

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

445144524 is a wasteful number, since it uses less digits than its factorization.

445144524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1413 counting only the distinct ones).

The product of its digits is 51200, while the sum is 33.

The square root of 445144524 is about 21098.4483789685. The cubic root of 445144524 is about 763.5433136828.

The spelling of 445144524 in words is "four hundred forty-five million, one hundred forty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 163 187 204 326 374 489 561 652 748 978 1122 1217 1793 1956 2244 2434 2771 3586 3651 4868 5379 5542 7172 7302 8313 10758 11084 13387 14604 16626 20689 21516 26774 30481 33252 40161 41378 53548 60962 62067 80322 82756 91443 121924 124134 160644 182886 198371 227579 248268 365772 396742 455158 595113 682737 793484 910316 1190226 1365474 2182081 2380452 2730948 3372307 4364162 6546243 6744614 8728324 10116921 13092486 13489228 20233842 26184972 37095377 40467684 74190754 111286131 148381508 222572262 445144524