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41752116 = 22327223669
BaseRepresentation
bin1001111101000…
…1011000110100
32220120020010200
42133101120310
541142031431
64050520500
71014613200
oct237213064
986506120
1041752116
1121627a8a
1211b96130
13885b1c3
14578bb00
1539eaee6
hex27d1634

41752116 has 54 divisors (see below), whose sum is σ = 122776290. Its totient is φ = 11928672.

The previous prime is 41752099. The next prime is 41752127. The reversal of 41752116 is 61125714.

It is a happy number.

41752116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 33108516 + 8643600 = 5754^2 + 2940^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41752116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10071 + ... + 13598.

It is an arithmetic number, because the mean of its divisors is an integer number (2273635).

Almost surely, 241752116 is an apocalyptic number.

It is an amenable number.

41752116 is an abundant number, since it is smaller than the sum of its proper divisors (81024174).

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

41752116 is a wasteful number, since it uses less digits than its factorization.

41752116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23693 (or 23681 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 41752116 is about 6461.5877305814. The cubic root of 41752116 is about 346.9174643898.

The spelling of 41752116 in words is "forty-one million, seven hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 23669 47338 71007 94676 142014 165683 213021 284028 331366 426042 497049 662732 852084 994098 1159781 1491147 1988196 2319562 2982294 3479343 4639124 5964588 6958686 10438029 13917372 20876058 41752116