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42183440 = 2451347863
BaseRepresentation
bin1010000011101…
…0101100010000
32221101010210122
42200322230100
541244332230
64104045412
71021360535
oct240725420
987333718
1042183440
11218a2052
1212163868
13897c620
145860d8c
153a83be5
hex283ab10

42183440 has 80 divisors (see below), whose sum is σ = 107993088. Its totient is φ = 15226368.

The previous prime is 42183433. The next prime is 42183451. The reversal of 42183440 is 4438124.

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

It is a super-2 number, since 2×421834402 = 3558885220467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48449 + ... + 49311.

Almost surely, 242183440 is an apocalyptic number.

42183440 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 42183440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53996544).

42183440 is an abundant number, since it is smaller than the sum of its proper divisors (65809648).

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

42183440 is a wasteful number, since it uses less digits than its factorization.

42183440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 42183440 is about 6494.8779819178. The cubic root of 42183440 is about 348.1079948438.

The spelling of 42183440 in words is "forty-two million, one hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 188 208 235 260 376 470 520 611 752 863 940 1040 1222 1726 1880 2444 3055 3452 3760 4315 4888 6110 6904 8630 9776 11219 12220 13808 17260 22438 24440 34520 40561 44876 48880 56095 69040 81122 89752 112190 162244 179504 202805 224380 324488 405610 448760 527293 648976 811220 897520 1054586 1622440 2109172 2636465 3244880 4218344 5272930 8436688 10545860 21091720 42183440