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42546040 = 235712211
BaseRepresentation
bin1010001001001…
…1001101111000
32222001120012021
42202103031320
541342433130
64115524224
71024430635
oct242231570
988046167
1042546040
112201a519
12122b9674
138a78694
14591718c
153b0637a
hex2893378

42546040 has 48 divisors (see below), whose sum is σ = 97556040. Its totient is φ = 16699200.

The previous prime is 42546037. The next prime is 42546059. The reversal of 42546040 is 4064524.

It is a junction number, because it is equal to n+sod(n) for n = 42545996 and 42546014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201535 + ... + 201745.

Almost surely, 242546040 is an apocalyptic number.

42546040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42546040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48778020).

42546040 is an abundant number, since it is smaller than the sum of its proper divisors (55010000).

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

42546040 is a wasteful number, since it uses less digits than its factorization.

42546040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 42546040 is about 6522.7325562221. The cubic root of 42546040 is about 349.1025716360.

The spelling of 42546040 in words is "forty-two million, five hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 211 284 355 422 568 710 844 1055 1420 1688 2110 2840 4220 5041 8440 10082 14981 20164 25205 29962 40328 50410 59924 74905 100820 119848 149810 201640 299620 599240 1063651 2127302 4254604 5318255 8509208 10636510 21273020 42546040