Search a number
-
+
41657364 = 22327533119
BaseRepresentation
bin1001111011101…
…0010000010100
32220101102011100
42132322100110
541131013424
64044510100
71014040020
oct236722024
986342140
1041657364
1121572881
1211b4b330
138827038
145765380
1539ccdc9
hex27ba414

41657364 has 72 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 11673792.

The previous prime is 41657339. The next prime is 41657381. The reversal of 41657364 is 46375614.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11797 + ... + 14915.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 241657364 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 41657364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

41657364 is an abundant number, since it is smaller than the sum of its proper divisors (80996076).

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

41657364 is a wasteful number, since it uses less digits than its factorization.

41657364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3184 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 41657364 is about 6454.2516219931. The cubic root of 41657364 is about 346.6548348197.

The spelling of 41657364 in words is "forty-one million, six hundred fifty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3119 3339 4452 6238 6678 9357 12476 13356 18714 21833 28071 37428 43666 56142 65499 87332 112284 130998 165307 196497 261996 330614 392994 495921 661228 785988 991842 1157149 1487763 1983684 2314298 2975526 3471447 4628596 5951052 6942894 10414341 13885788 20828682 41657364