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42013727 = 73122489
BaseRepresentation
bin1010000001000…
…1010000011111
32221001111222222
42200101100133
541223414402
64100255555
71020053000
oct240212037
987044888
1042013727
1121796598
12120a15bb
1389202c2
1458191a7
153a4d7a2
hex281141f

42013727 has 8 divisors (see below), whose sum is σ = 48996000. Its totient is φ = 36011472.

The previous prime is 42013717. The next prime is 42013729. The reversal of 42013727 is 72731024.

It is not a de Polignac number, because 42013727 - 210 = 42012703 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42013696 and 42013705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60902 + ... + 61587.

It is an arithmetic number, because the mean of its divisors is an integer number (6124500).

Almost surely, 242013727 is an apocalyptic number.

42013727 is a deficient number, since it is larger than the sum of its proper divisors (6982273).

42013727 is an equidigital number, since it uses as much as digits as its factorization.

42013727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122510 (or 122496 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 42013727 is about 6481.7996729304. The cubic root of 42013727 is about 347.6405297429.

The spelling of 42013727 in words is "forty-two million, thirteen thousand, seven hundred twenty-seven".

Divisors: 1 7 49 343 122489 857423 6001961 42013727