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41251980 = 22357118929
BaseRepresentation
bin1001110101011…
…1010010001100
32212121211002010
42131113102030
541030030410
64032101220
71010431110
oct235272214
985554063
1041251980
1121316250
1211994810
138714673
14569b740
15394cc20
hex275748c

41251980 has 96 divisors (see below), whose sum is σ = 144023040. Its totient is φ = 8570880.

The previous prime is 41251963. The next prime is 41251981. The reversal of 41251980 is 8915214.

It is a happy number.

41251980 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 (30).

It is not an unprimeable number, because it can be changed into a prime (41251981) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 156 + ... + 9084.

It is an arithmetic number, because the mean of its divisors is an integer number (1500240).

Almost surely, 241251980 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 41251980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72011520).

41251980 is an abundant number, since it is smaller than the sum of its proper divisors (102771060).

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

41251980 is a wasteful number, since it uses less digits than its factorization.

41251980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8959 (or 8957 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 41251980 is about 6422.7704302738. The cubic root of 41251980 is about 345.5266897507.

It can be divided in two parts, 4125 and 1980, that added together give a triangular number (6105 = T110).

The spelling of 41251980 in words is "forty-one million, two hundred fifty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 8929 17858 26787 35716 44645 53574 62503 89290 98219 107148 125006 133935 178580 187509 196438 250012 267870 294657 312515 375018 392876 491095 535740 589314 625030 687533 750036 937545 982190 1178628 1250060 1375066 1473285 1875090 1964380 2062599 2750132 2946570 3437665 3750180 4125198 5893140 6875330 8250396 10312995 13750660 20625990 41251980