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41431000 = 2353133187
BaseRepresentation
bin1001111000001…
…0111111011000
32212221220122111
42132002333120
541101243000
64040002104
71012105042
oct236027730
985856574
1041431000
11214287a6
1211a60334
138777cb0
145706a92
153985cba
hex2782fd8

41431000 has 64 divisors (see below), whose sum is σ = 104438880. Its totient is φ = 15292800.

The previous prime is 41430979. The next prime is 41431007. The reversal of 41431000 is 13414.

It is a super-2 number, since 2×414310002 = 3433055522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41431007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11407 + ... + 14593.

Almost surely, 241431000 is an apocalyptic number.

41431000 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 41431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52219440).

41431000 is an abundant number, since it is smaller than the sum of its proper divisors (63007880).

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

41431000 is a wasteful number, since it uses less digits than its factorization.

41431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 41431000 is about 6436.6916968269. The cubic root of 41431000 is about 346.0257924573.

Adding to 41431000 its reverse (13414), we get a palindrome (41444414).

The spelling of 41431000 in words is "forty-one million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3187 3250 6374 6500 12748 13000 15935 25496 31870 41431 63740 79675 82862 127480 159350 165724 207155 318700 331448 398375 414310 637400 796750 828620 1035775 1593500 1657240 2071550 3187000 4143100 5178875 8286200 10357750 20715500 41431000