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42958047 = 3114727697
BaseRepresentation
bin1010001111011…
…1110011011111
32222211111100210
42203313303133
541444124142
64132423503
71031065056
oct243676337
988744323
1042958047
1122281020
1212477b93
138b91082
1459c339d
153b8849c
hex28f7cdf

42958047 has 16 divisors (see below), whose sum is σ = 63816192. Its totient is φ = 25480320.

The previous prime is 42958021. The next prime is 42958049. The reversal of 42958047 is 74085924.

It is not a de Polignac number, because 42958047 - 27 = 42957919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42957996 and 42958014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42958049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12298 + ... + 15399.

It is an arithmetic number, because the mean of its divisors is an integer number (3988512).

Almost surely, 242958047 is an apocalyptic number.

42958047 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

42958047 is a deficient number, since it is larger than the sum of its proper divisors (20858145).

42958047 is a wasteful number, since it uses less digits than its factorization.

42958047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27758.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 42958047 is about 6554.2388574113. The cubic root of 42958047 is about 350.2258324848.

The spelling of 42958047 in words is "forty-two million, nine hundred fifty-eight thousand, forty-seven".

Divisors: 1 3 11 33 47 141 517 1551 27697 83091 304667 914001 1301759 3905277 14319349 42958047