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42287184 = 243467487
BaseRepresentation
bin1010000101010…
…0000001010000
32221120102010000
42201110001100
541311142214
64110210000
71022302152
oct241240120
987512100
1042287184
1121962a95
12121b3900
1389b7904
14588aad2
153aa4809
hex2854050

42287184 has 100 divisors (see below), whose sum is σ = 124473184. Its totient is φ = 13856832.

The previous prime is 42287183. The next prime is 42287207. The reversal of 42287184 is 48178224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42287183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86589 + ... + 87075.

Almost surely, 242287184 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 42287184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62236592).

42287184 is an abundant number, since it is smaller than the sum of its proper divisors (82186000).

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

42287184 is a wasteful number, since it uses less digits than its factorization.

42287184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 559 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 42287184 is about 6502.8596786337. The cubic root of 42287184 is about 348.3931347819.

The spelling of 42287184 in words is "forty-two million, two hundred eighty-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 268 324 402 432 487 536 603 648 804 974 1072 1206 1296 1461 1608 1809 1948 2412 2922 3216 3618 3896 4383 4824 5427 5844 7236 7792 8766 9648 10854 11688 13149 14472 17532 21708 23376 26298 28944 32629 35064 39447 43416 52596 65258 70128 78894 86832 97887 105192 130516 157788 195774 210384 261032 293661 315576 391548 522064 587322 631152 783096 880983 1174644 1566192 1761966 2349288 2642949 3523932 4698576 5285898 7047864 10571796 14095728 21143592 42287184