Search a number
-
+
41672832 = 273472309
BaseRepresentation
bin1001111011111…
…0000010000000
32220102012101020
42132332002000
541132012312
64045105440
71014133065
oct236760200
986365336
1041672832
1121583463
1211b58280
1388310a6
14576ac6c
1539d278c
hex27be080

41672832 has 64 divisors (see below), whose sum is σ = 113097600. Its totient is φ = 13589504.

The previous prime is 41672809. The next prime is 41672843. The reversal of 41672832 is 23827614.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 41672793 and 41672802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16894 + ... + 19202.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 241672832 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 41672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56548800).

41672832 is an abundant number, since it is smaller than the sum of its proper divisors (71424768).

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

41672832 is a wasteful number, since it uses less digits than its factorization.

41672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2361 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 41672832 is about 6455.4497906807. The cubic root of 41672832 is about 346.6977355455.

The spelling of 41672832 in words is "forty-one million, six hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 2309 3008 4512 4618 6016 6927 9024 9236 13854 18048 18472 27708 36944 55416 73888 108523 110832 147776 217046 221664 295552 325569 434092 443328 651138 868184 886656 1302276 1736368 2604552 3472736 5209104 6945472 10418208 13890944 20836416 41672832