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42345744 = 2437193653
BaseRepresentation
bin1010000110001…
…0010100010000
32221200101102220
42201202110100
541320030434
64111341040
71022634660
oct241422420
987611386
1042345744
11219a2a91
1212221780
138a0846c
1458a41a0
153ab6d49
hex2862510

42345744 has 80 divisors (see below), whose sum is σ = 125860992. Its totient is φ = 12017664.

The previous prime is 42345739. The next prime is 42345757. The reversal of 42345744 is 44754324.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64522 + ... + 65174.

Almost surely, 242345744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42345744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62930496).

42345744 is an abundant number, since it is smaller than the sum of its proper divisors (83515248).

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

42345744 is a wasteful number, since it uses less digits than its factorization.

42345744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its digits is 53760, while the sum is 33.

The square root of 42345744 is about 6507.3607553293. The cubic root of 42345744 is about 348.5538808177.

The spelling of 42345744 in words is "forty-two million, three hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 193 336 386 579 653 772 1158 1306 1351 1544 1959 2316 2612 2702 3088 3918 4053 4571 4632 5224 5404 7836 8106 9142 9264 10448 10808 13713 15672 16212 18284 21616 27426 31344 32424 36568 54852 64848 73136 109704 126029 219408 252058 378087 504116 756174 882203 1008232 1512348 1764406 2016464 2646609 3024696 3528812 5293218 6049392 7057624 10586436 14115248 21172872 42345744