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41148680 = 23519291867
BaseRepresentation
bin1001110011111…
…0000100001000
32212102120101012
42130332010020
541013224210
64025543052
71006520666
oct234760410
985376335
1041148680
1121255681
1211944a88
1386a9641
145671c36
15392c305
hex273e108

41148680 has 64 divisors (see below), whose sum is σ = 100872000. Its totient is φ = 15047424.

The previous prime is 41148673. The next prime is 41148691. The reversal of 41148680 is 8684114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21107 + ... + 22973.

It is an arithmetic number, because the mean of its divisors is an integer number (1576125).

Almost surely, 241148680 is an apocalyptic number.

41148680 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 41148680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50436000).

41148680 is an abundant number, since it is smaller than the sum of its proper divisors (59723320).

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

41148680 is a wasteful number, since it uses less digits than its factorization.

41148680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 41148680 is about 6414.7236885154. The cubic root of 41148680 is about 345.2380349863.

The spelling of 41148680 in words is "forty-one million, one hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 1867 2204 2755 3734 4408 5510 7468 9335 11020 14936 18670 22040 35473 37340 54143 70946 74680 108286 141892 177365 216572 270715 283784 354730 433144 541430 709460 1028717 1082860 1418920 2057434 2165720 4114868 5143585 8229736 10287170 20574340 41148680