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44842000 = 245373203
BaseRepresentation
bin1010101100001…
…1110000010000
310010101012122211
42223003300100
542434421000
64241041504
71053102460
oct253036020
9103335584
1044842000
1123348505
1213026294
1393a0738
145d53ba0
153e0b7ba
hex2ac3c10

44842000 has 80 divisors (see below), whose sum is σ = 123956352. Its totient is φ = 15369600.

The previous prime is 44841989. The next prime is 44842003. The reversal of 44842000 is 24844.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (44842003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12399 + ... + 15601.

Almost surely, 244842000 is an apocalyptic number.

44842000 is a gapful number since it is divisible by the number (40) 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 44842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61978176).

44842000 is an abundant number, since it is smaller than the sum of its proper divisors (79114352).

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

44842000 is a wasteful number, since it uses less digits than its factorization.

44842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 44842000 is about 6696.4169523709. The cubic root of 44842000 is about 355.2725540316.

Adding to 44842000 its reverse (24844), we get a palindrome (44866844).

The spelling of 44842000 in words is "forty-four million, eight hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3203 3500 6406 7000 12812 14000 16015 22421 25624 32030 44842 51248 64060 80075 89684 112105 128120 160150 179368 224210 256240 320300 358736 400375 448420 560525 640600 800750 896840 1121050 1281200 1601500 1793680 2242100 2802625 3203000 4484200 5605250 6406000 8968400 11210500 22421000 44842000