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42930480 = 2435178877
BaseRepresentation
bin1010001111000…
…1000100110000
32222210002112210
42203301010300
541442233410
64132052120
71030621515
oct243610460
988702483
1042930480
112226233a
1212464040
138b81668
1459b730c
153b80220
hex28f1130

42930480 has 40 divisors (see below), whose sum is σ = 133085232. Its totient is φ = 11448064.

The previous prime is 42930479. The next prime is 42930509. The reversal of 42930480 is 8403924.

It is a happy number.

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

It is a super-2 number, since 2×429304802 = 3686052226060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89199 + ... + 89678.

Almost surely, 242930480 is an apocalyptic number.

42930480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42930480 is an abundant number, since it is smaller than the sum of its proper divisors (90154752).

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

42930480 is a wasteful number, since it uses less digits than its factorization.

42930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178893 (or 178887 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42930480 is about 6552.1355297338. The cubic root of 42930480 is about 350.1509009168.

The spelling of 42930480 in words is "forty-two million, nine hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 178877 357754 536631 715508 894385 1073262 1431016 1788770 2146524 2683155 2862032 3577540 4293048 5366310 7155080 8586096 10732620 14310160 21465240 42930480