[go: up one dir, main page]

Search a number
-
+
41694336 = 2732172129
BaseRepresentation
bin1001111100001…
…1010010000000
32220110021212200
42133003102000
541133204321
64045353200
71014252555
oct237032200
986407780
1041694336
1121598632
1211b68800
13883ab08
145774a2c
1539d8d26
hex27c3480

41694336 has 96 divisors (see below), whose sum is σ = 127097100. Its totient is φ = 13074432.

The previous prime is 41694299. The next prime is 41694337. The reversal of 41694336 is 63349614.

It can be written as a sum of positive squares in 2 ways, for example, as 41679936 + 14400 = 6456^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41694336.

It is not an unprimeable number, because it can be changed into a prime (41694337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18520 + ... + 20648.

Almost surely, 241694336 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 41694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63548550).

41694336 is an abundant number, since it is smaller than the sum of its proper divisors (85402764).

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

41694336 is a wasteful number, since it uses less digits than its factorization.

41694336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2151 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 41694336 is about 6457.1151453261. The cubic root of 41694336 is about 346.7573595718.

The spelling of 41694336 in words is "forty-one million, six hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2129 2176 2448 3264 4258 4896 6387 6528 8516 9792 12774 17032 19161 19584 25548 34064 36193 38322 51096 68128 72386 76644 102192 108579 136256 144772 153288 204384 217158 272512 289544 306576 325737 408768 434316 579088 613152 651474 817536 868632 1158176 1226304 1302948 1737264 2316352 2452608 2605896 3474528 4632704 5211792 6949056 10423584 13898112 20847168 41694336