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42086040 = 2335467751
BaseRepresentation
bin1010000010001…
…0111010011000
32221012012012020
42200202322120
541233223130
64102014440
71020503553
oct240427230
987165166
1042086040
1121835957
1212117420
1389471a9
14583769a
153a64e10
hex2822e98

42086040 has 64 divisors (see below), whose sum is σ = 126696960. Its totient is φ = 11184000.

The previous prime is 42086017. The next prime is 42086041. The reversal of 42086040 is 4068024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42086040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42086041) 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, 55665 + ... + 56415.

It is an arithmetic number, because the mean of its divisors is an integer number (1979640).

Almost surely, 242086040 is an apocalyptic number.

42086040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42086040 is an abundant number, since it is smaller than the sum of its proper divisors (84610920).

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

42086040 is a wasteful number, since it uses less digits than its factorization.

42086040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42086040 is about 6487.3754323301. The cubic root of 42086040 is about 347.8398655502.

The spelling of 42086040 in words is "forty-two million, eighty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 467 751 934 1401 1502 1868 2253 2335 2802 3004 3736 3755 4506 4670 5604 6008 7005 7510 9012 9340 11208 11265 14010 15020 18024 18680 22530 28020 30040 45060 56040 90120 350717 701434 1052151 1402868 1753585 2104302 2805736 3507170 4208604 5260755 7014340 8417208 10521510 14028680 21043020 42086040