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42047136 = 2532831759
BaseRepresentation
bin1010000001100…
…1011010100000
32221010012211100
42200121122200
541231002021
64101114400
71020252255
oct240313240
987105740
1042047136
11218096aa
12120b8a00
138932581
14582742c
153a58626
hex28196a0

42047136 has 72 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 13838976.

The previous prime is 42047111. The next prime is 42047141. The reversal of 42047136 is 63174024.

It is a tau number, because it is divible by the number of its divisors (72).

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, 23025 + ... + 24783.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 242047136 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 42047136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

42047136 is an abundant number, since it is smaller than the sum of its proper divisors (79033824).

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

42047136 is a wasteful number, since it uses less digits than its factorization.

42047136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42047136 is about 6484.3762999999. The cubic root of 42047136 is about 347.7326523745.

The spelling of 42047136 in words is "forty-two million, forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1759 1992 2656 2988 3518 3984 5277 5976 7036 7968 10554 11952 14072 15831 21108 23904 28144 31662 42216 56288 63324 84432 126648 145997 168864 253296 291994 437991 506592 583988 875982 1167976 1313973 1751964 2335952 2627946 3503928 4671904 5255892 7007856 10511784 14015712 21023568 42047136