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42497184 = 2531492971
BaseRepresentation
bin1010001000011…
…1010010100000
32221222002011210
42202013102200
541334402214
64114510120
71024135332
oct242072240
987862153
1042497184
1121a96844
1212295340
138a5c382
145903452
153ae6b59
hex28874a0

42497184 has 48 divisors (see below), whose sum is σ = 112341600. Its totient is φ = 14065920.

The previous prime is 42497179. The next prime is 42497207. The reversal of 42497184 is 48179424.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12819 + ... + 15789.

It is an arithmetic number, because the mean of its divisors is an integer number (2340450).

Almost surely, 242497184 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 42497184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56170800).

42497184 is an abundant number, since it is smaller than the sum of its proper divisors (69844416).

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

42497184 is a wasteful number, since it uses less digits than its factorization.

42497184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3125 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 42497184 is about 6518.9864242841. The cubic root of 42497184 is about 348.9688945822.

The spelling of 42497184 in words is "forty-two million, four hundred ninety-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 2971 3576 4768 5942 7152 8913 11884 14304 17826 23768 35652 47536 71304 95072 142608 285216 442679 885358 1328037 1770716 2656074 3541432 5312148 7082864 10624296 14165728 21248592 42497184