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41440056 = 23373173109
BaseRepresentation
bin1001111000010…
…1001100111000
32212222101001220
42132011030320
541102040211
64040112040
71012143330
oct236051470
985871056
1041440056
1121434589
1211a65620
13877c158
14570a0c0
153988806
hex2785338

41440056 has 128 divisors (see below), whose sum is σ = 125030400. Its totient is φ = 11197440.

The previous prime is 41440039. The next prime is 41440057. The reversal of 41440056 is 65004414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41440057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380130 + ... + 380238.

It is an arithmetic number, because the mean of its divisors is an integer number (976800).

Almost surely, 241440056 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 41440056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62515200).

41440056 is an abundant number, since it is smaller than the sum of its proper divisors (83590344).

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

41440056 is a wasteful number, since it uses less digits than its factorization.

41440056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 41440056 is about 6437.3951253593. The cubic root of 41440056 is about 346.0510020933.

It can be divided in two parts, 414 and 40056, that added together give a triangular number (40470 = T284).

The spelling of 41440056 in words is "forty-one million, four hundred forty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 73 84 93 109 124 146 168 186 217 218 219 248 292 327 372 434 436 438 511 584 651 654 744 763 868 872 876 1022 1302 1308 1526 1533 1736 1752 2044 2263 2289 2604 2616 3052 3066 3379 4088 4526 4578 5208 6104 6132 6758 6789 7957 9052 9156 10137 12264 13516 13578 15841 15914 18104 18312 20274 23653 23871 27032 27156 31682 31828 40548 47306 47523 47742 54312 55699 63364 63656 70959 81096 94612 95046 95484 111398 126728 141918 167097 189224 190092 190968 222796 246667 283836 334194 380184 445592 493334 567672 668388 740001 986668 1336776 1480002 1726669 1973336 2960004 3453338 5180007 5920008 6906676 10360014 13813352 20720028 41440056