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41486240 = 255298941
BaseRepresentation
bin1001111001000…
…0011110100000
32220001201102102
42132100132200
541110024430
64041105532
71012425065
oct236203640
986051372
1041486240
1121466254
1211a882a8
138797193
14571cc6c
153997345
hex27907a0

41486240 has 48 divisors (see below), whose sum is σ = 101402280. Its totient is φ = 16020480.

The previous prime is 41486209. The next prime is 41486243. The reversal of 41486240 is 4268414.

It can be written as a sum of positive squares in 4 ways, for example, as 36048016 + 5438224 = 6004^2 + 2332^2 .

It is a super-2 number, since 2×414862402 = 3442216218675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (41486243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 170 + ... + 9110.

Almost surely, 241486240 is an apocalyptic number.

41486240 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 41486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50701140).

41486240 is an abundant number, since it is smaller than the sum of its proper divisors (59916040).

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

41486240 is a wasteful number, since it uses less digits than its factorization.

41486240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8985 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 41486240 is about 6440.9812916977. The cubic root of 41486240 is about 346.1795096896.

The spelling of 41486240 in words is "forty-one million, four hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 8941 17882 35764 44705 71528 89410 143056 178820 259289 286112 357640 518578 715280 1037156 1296445 1430560 2074312 2592890 4148624 5185780 8297248 10371560 20743120 41486240