Search a number
-
+
41995168 = 2517219239
BaseRepresentation
bin1010000000110…
…0101110100000
32221000120112121
42200030232200
541222321133
64100034024
71016644615
oct240145640
987016477
1041995168
1121783656
1212092914
138914a17
14581250c
153a4802d
hex280cba0

41995168 has 72 divisors (see below), whose sum is σ = 92836800. Its totient is φ = 18643968.

The previous prime is 41995159. The next prime is 41995181. The reversal of 41995168 is 86159914.

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, 175593 + ... + 175831.

It is an arithmetic number, because the mean of its divisors is an integer number (1289400).

Almost surely, 241995168 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 41995168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46418400).

41995168 is an abundant number, since it is smaller than the sum of its proper divisors (50841632).

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

41995168 is a wasteful number, since it uses less digits than its factorization.

41995168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 277 counting only the distinct ones).

The product of its digits is 77760, while the sum is 43.

The square root of 41995168 is about 6480.3678907914. The cubic root of 41995168 is about 347.5893336911.

The spelling of 41995168 in words is "forty-one million, nine hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 239 272 289 304 323 478 544 578 608 646 956 1156 1292 1912 2312 2584 3824 4063 4541 4624 5168 5491 7648 8126 9082 9248 10336 10982 16252 18164 21964 32504 36328 43928 65008 69071 72656 77197 87856 130016 138142 145312 154394 175712 276284 308788 552568 617576 1105136 1235152 1312349 2210272 2470304 2624698 5249396 10498792 20997584 41995168