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41642052 = 22323312157
BaseRepresentation
bin1001111011011…
…0100001000100
32220100122011020
42132312201010
541130021202
64044311140
71013644254
oct236664104
986318136
1041642052
1121562321
1211b424b0
13882008a
14575d964
1539c85bc
hex27b6844

41642052 has 72 divisors (see below), whose sum is σ = 105432768. Its totient is φ = 12767040.

The previous prime is 41642009. The next prime is 41642123. The reversal of 41642052 is 25024614.

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, 265158 + ... + 265314.

It is an arithmetic number, because the mean of its divisors is an integer number (1464344).

Almost surely, 241642052 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 41642052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52716384).

41642052 is an abundant number, since it is smaller than the sum of its proper divisors (63790716).

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

41642052 is a wasteful number, since it uses less digits than its factorization.

41642052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 216 counting only the distinct ones).

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

The square root of 41642052 is about 6453.0653181260. The cubic root of 41642052 is about 346.6123563013.

Adding to 41642052 its reverse (25024614), we get a palindrome (66666666).

It can be divided in two parts, 4164 and 2052, that added together give a triangular number (6216 = T111).

The spelling of 41642052 in words is "forty-one million, six hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 157 186 276 314 372 471 628 713 942 961 1426 1884 1922 2139 2852 2883 3611 3844 4278 4867 5766 7222 8556 9734 10833 11532 14444 14601 19468 21666 22103 29202 43332 44206 58404 66309 88412 111941 132618 150877 223882 265236 301754 335823 447764 452631 603508 671646 905262 1343292 1810524 3470171 6940342 10410513 13880684 20821026 41642052