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42761440 = 255267259
BaseRepresentation
bin1010001100011…
…1110011100000
32222110111200001
42203013303200
541421331230
64124305344
71026315631
oct243076340
988414601
1042761440
1122157337
12123a2254
138b22737
145971888
153b4a0ca
hex28c7ce0

42761440 has 24 divisors (see below), whose sum is σ = 101024280. Its totient is φ = 17104512.

The previous prime is 42761417. The next prime is 42761473. The reversal of 42761440 is 4416724.

It is a junction number, because it is equal to n+sod(n) for n = 42761399 and 42761408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133470 + ... + 133789.

It is an arithmetic number, because the mean of its divisors is an integer number (4209345).

Almost surely, 242761440 is an apocalyptic number.

42761440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42761440 is an abundant number, since it is smaller than the sum of its proper divisors (58262840).

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

42761440 is a wasteful number, since it uses less digits than its factorization.

42761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267274 (or 267266 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 42761440 is about 6539.2231954568. The cubic root of 42761440 is about 349.6907199803.

The spelling of 42761440 in words is "forty-two million, seven hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 267259 534518 1069036 1336295 2138072 2672590 4276144 5345180 8552288 10690360 21380720 42761440