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41799960 = 23325671733
BaseRepresentation
bin1001111101110…
…1000100011000
32220122122202200
42133131010120
541200044320
64051530200
71015202526
oct237350430
986578680
1041799960
112165aa24
1211bb9960
138876c07
1457a1316
153a0a290
hex27dd118

41799960 has 96 divisors (see below), whose sum is σ = 137957040. Its totient is φ = 10973952.

The previous prime is 41799917. The next prime is 41799983. The reversal of 41799960 is 6999714.

41799960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 23254 + ... + 24986.

Almost surely, 241799960 is an apocalyptic number.

41799960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41799960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68978520).

41799960 is an abundant number, since it is smaller than the sum of its proper divisors (96157080).

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

41799960 is a wasteful number, since it uses less digits than its factorization.

41799960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 41799960 is about 6465.2888566560. The cubic root of 41799960 is about 347.0499254074.

The spelling of 41799960 in words is "forty-one million, seven hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 1733 2010 2412 2680 3015 3466 4020 4824 5199 6030 6932 8040 8665 10398 12060 13864 15597 17330 20796 24120 25995 31194 34660 41592 51990 62388 69320 77985 103980 116111 124776 155970 207960 232222 311940 348333 464444 580555 623880 696666 928888 1044999 1161110 1393332 1741665 2089998 2322220 2786664 3483330 4179996 4644440 5224995 6966660 8359992 10449990 13933320 20899980 41799960