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445614048 = 25341115629
BaseRepresentation
bin11010100011111…
…000011111100000
31011001111112120000
4122203320133200
51403034122143
6112115020000
714020441215
oct3243703740
91131445500
10445614048
112095a0480
1210529a600
1371422569
1443279b0c
15291c3bd3
hex1a8f87e0

445614048 has 120 divisors (see below), whose sum is σ = 1429769880. Its totient is φ = 135025920.

The previous prime is 445614041. The next prime is 445614053. The reversal of 445614048 is 840416544.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445614041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20698 + ... + 36326.

It is an arithmetic number, because the mean of its divisors is an integer number (11914749).

Almost surely, 2445614048 is an apocalyptic number.

445614048 is a gapful number since it is divisible by the number (48) 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 445614048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714884940).

445614048 is an abundant number, since it is smaller than the sum of its proper divisors (984155832).

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

445614048 is a wasteful number, since it uses less digits than its factorization.

445614048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15662 (or 15645 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 445614048 is about 21109.5724257977. The cubic root of 445614048 is about 763.8116729234.

The spelling of 445614048 in words is "four hundred forty-five million, six hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 15629 28512 31258 46887 62516 93774 125032 140661 171919 187548 250064 281322 343838 375096 421983 500128 515757 562644 687676 750192 843966 1031514 1125288 1265949 1375352 1500384 1547271 1687932 2063028 2250576 2531898 2750704 3094542 3375864 4126056 4501152 4641813 5063796 5501408 6189084 6751728 8252112 9283626 10127592 12378168 13503456 13925439 16504224 18567252 20255184 24756336 27850878 37134504 40510368 49512672 55701756 74269008 111403512 148538016 222807024 445614048