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42445680 = 2435176857
BaseRepresentation
bin1010000111101…
…0101101110000
32221212110112020
42201322231300
541331230210
64113431440
71023532224
oct241725560
987773466
1042445680
1121a61082
121226b580
138a41ab4
1458cc784
153ad6770
hex287ab70

42445680 has 40 divisors (see below), whose sum is σ = 131582352. Its totient is φ = 11318784.

The previous prime is 42445661. The next prime is 42445709. The reversal of 42445680 is 8654424.

42445680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88189 + ... + 88668.

Almost surely, 242445680 is an apocalyptic number.

42445680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42445680 is an abundant number, since it is smaller than the sum of its proper divisors (89136672).

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

42445680 is a wasteful number, since it uses less digits than its factorization.

42445680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176873 (or 176867 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 42445680 is about 6515.0349193231. The cubic root of 42445680 is about 348.8278612399.

The spelling of 42445680 in words is "forty-two million, four hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 176857 353714 530571 707428 884285 1061142 1414856 1768570 2122284 2652855 2829712 3537140 4244568 5305710 7074280 8489136 10611420 14148560 21222840 42445680