Search a number
-
+
41356672 = 277101457
BaseRepresentation
bin1001110111000…
…0110110000000
32212211010200121
42131300312000
541041403142
64034230024
71011345250
oct235606600
985733617
1041356672
1121387975
1211a25314
138750206
1456c7960
15396dc67
hex2770d80

41356672 has 64 divisors (see below), whose sum is σ = 95300640. Its totient is φ = 17510400.

The previous prime is 41356643. The next prime is 41356687. The reversal of 41356672 is 27665314.

It is a happy number.

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, 90268 + ... + 90724.

Almost surely, 241356672 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 41356672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47650320).

41356672 is an abundant number, since it is smaller than the sum of its proper divisors (53943968).

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

41356672 is a wasteful number, since it uses less digits than its factorization.

41356672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 567 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 41356672 is about 6430.9153314283. The cubic root of 41356672 is about 345.8187429789.

The spelling of 41356672 in words is "forty-one million, three hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 404 448 457 707 808 896 914 1414 1616 1828 2828 3199 3232 3656 5656 6398 6464 7312 11312 12796 12928 14624 22624 25592 29248 45248 46157 51184 58496 90496 92314 102368 184628 204736 323099 369256 409472 646198 738512 1292396 1477024 2584792 2954048 5169584 5908096 10339168 20678336 41356672