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42350720 = 27566173
BaseRepresentation
bin1010000110001…
…1100010000000
32221200122021012
42201203202000
541320210340
64111420052
71022655326
oct241434200
987618235
1042350720
11219a67a5
1212224628
138a0a7c9
1458a5d16
153ab8565
hex2863880

42350720 has 32 divisors (see below), whose sum is σ = 101246220. Its totient is φ = 16940032.

The previous prime is 42350683. The next prime is 42350741. The reversal of 42350720 is 2705324.

It can be written as a sum of positive squares in 2 ways, for example, as 37650496 + 4700224 = 6136^2 + 2168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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, 32447 + ... + 33726.

Almost surely, 242350720 is an apocalyptic number.

42350720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42350720 is an abundant number, since it is smaller than the sum of its proper divisors (58895500).

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

42350720 is an equidigital number, since it uses as much as digits as its factorization.

42350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66192 (or 66180 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 42350720 is about 6507.7430803620. The cubic root of 42350720 is about 348.5675330057.

The spelling of 42350720 in words is "forty-two million, three hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 66173 132346 264692 330865 529384 661730 1058768 1323460 2117536 2646920 4235072 5293840 8470144 10587680 21175360 42350720