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41648130 = 232517163167
BaseRepresentation
bin1001111011100…
…0000000000010
32220100221111100
42132320000002
541130220010
64044355230
71014001056
oct236700002
986327440
1041648130
1121566947
1211b45b16
138822a84
145761c66
1539ca2c0
hex27b8002

41648130 has 96 divisors (see below), whose sum is σ = 116049024. Its totient is φ = 10326528.

The previous prime is 41648119. The next prime is 41648143. The reversal of 41648130 is 3184614.

41648130 is a `hidden beast` number, since 4 + 1 + 648 + 13 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41648094 and 41648103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249307 + ... + 249473.

It is an arithmetic number, because the mean of its divisors is an integer number (1208844).

Almost surely, 241648130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41648130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58024512).

41648130 is an abundant number, since it is smaller than the sum of its proper divisors (74400894).

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

41648130 is a wasteful number, since it uses less digits than its factorization.

41648130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41648130 is about 6453.5362399230. The cubic root of 41648130 is about 346.6292191223.

The spelling of 41648130 in words is "forty-one million, six hundred forty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 163 167 170 255 306 326 334 489 501 510 765 815 835 978 1002 1467 1503 1530 1630 1670 2445 2505 2771 2839 2934 3006 4890 5010 5542 5678 7335 7515 8313 8517 13855 14195 14670 15030 16626 17034 24939 25551 27221 27710 28390 41565 42585 49878 51102 54442 81663 83130 85170 124695 127755 136105 163326 244989 249390 255510 272210 408315 462757 489978 816630 925514 1224945 1388271 2313785 2449890 2776542 4164813 4627570 6941355 8329626 13882710 20824065 41648130