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42709914 = 23213374933
BaseRepresentation
bin1010001011101…
…1001110011010
32222100212222200
42202323032122
541413204124
64123231030
71026012462
oct242731632
988325880
1042709914
1122121655
1212378476
138b05150
14595aba2
153b39bc9
hex28bb39a

42709914 has 48 divisors (see below), whose sum is σ = 102370632. Its totient is φ = 12783744.

The previous prime is 42709907. The next prime is 42709921. The reversal of 42709914 is 41990724.

It is an interprime number because it is at equal distance from previous prime (42709907) and next prime (42709921).

It can be written as a sum of positive squares in 4 ways, for example, as 34398225 + 8311689 = 5865^2 + 2883^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6192 + ... + 11124.

Almost surely, 242709914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42709914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51185316).

42709914 is an abundant number, since it is smaller than the sum of its proper divisors (59660718).

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

42709914 is a wasteful number, since it uses less digits than its factorization.

42709914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 42709914 is about 6535.2822433312. The cubic root of 42709914 is about 349.5502086070.

The spelling of 42709914 in words is "forty-two million, seven hundred nine thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 4933 8658 9866 14799 29598 44397 64129 88794 128258 182521 192387 365042 384774 547563 577161 1095126 1154322 1642689 2372773 3285378 4745546 7118319 14236638 21354957 42709914