Search a number
-
+
41656704 = 273831307
BaseRepresentation
bin1001111011101…
…0000110000000
32220101101020220
42132322012000
541131003304
64044503040
71014035055
oct236720600
986341226
1041656704
1121572331
1211b4aa80
13882694b
14576502c
1539ccad9
hex27ba180

41656704 has 64 divisors (see below), whose sum is σ = 112069440. Its totient is φ = 13707776.

The previous prime is 41656661. The next prime is 41656729. The reversal of 41656704 is 40765614.

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

It is a congruent number.

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, 31219 + ... + 32525.

It is an arithmetic number, because the mean of its divisors is an integer number (1751085).

Almost surely, 241656704 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 41656704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56034720).

41656704 is an abundant number, since it is smaller than the sum of its proper divisors (70412736).

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

41656704 is a wasteful number, since it uses less digits than its factorization.

41656704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 41656704 is about 6454.2004927024. The cubic root of 41656704 is about 346.6530040638.

The spelling of 41656704 in words is "forty-one million, six hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1307 1328 1992 2614 2656 3921 3984 5228 5312 7842 7968 10456 10624 15684 15936 20912 31368 31872 41824 62736 83648 108481 125472 167296 216962 250944 325443 433924 501888 650886 867848 1301772 1735696 2603544 3471392 5207088 6942784 10414176 13885568 20828352 41656704