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42978080 = 255268613
BaseRepresentation
bin1010001111110…
…0101100100000
32222212111211202
42203330230200
542000244310
64133100332
71031210345
oct243745440
988774752
1042978080
1122295082
12124876a8
138b9a222
1459ca7cc
153b8e3a5
hex28fcb20

42978080 has 24 divisors (see below), whose sum is σ = 101536092. Its totient is φ = 17191168.

The previous prime is 42978049. The next prime is 42978083. The reversal of 42978080 is 8087924.

It can be written as a sum of positive squares in 2 ways, for example, as 39488656 + 3489424 = 6284^2 + 1868^2 .

It is not an unprimeable number, because it can be changed into a prime (42978083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134147 + ... + 134466.

Almost surely, 242978080 is an apocalyptic number.

42978080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42978080 is an abundant number, since it is smaller than the sum of its proper divisors (58558012).

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

42978080 is a wasteful number, since it uses less digits than its factorization.

42978080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268628 (or 268620 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 42978080 is about 6555.7669269125. The cubic root of 42978080 is about 350.2802653113.

The spelling of 42978080 in words is "forty-two million, nine hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 268613 537226 1074452 1343065 2148904 2686130 4297808 5372260 8595616 10744520 21489040 42978080