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41450040 = 23325971187
BaseRepresentation
bin1001111000011…
…1101000111000
32212222212202200
42132013220320
541102400130
64040230200
71012214412
oct236075070
985885680
1041450040
1121441035
1211a6b360
138783868
14570d9b2
15398b760
hex2787a38

41450040 has 96 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 10930176.

The previous prime is 41450033. The next prime is 41450047. The reversal of 41450040 is 4005414.

41450040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41450033) and next prime (41450047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41449995 and 41450022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41450047) 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 23 ways as a sum of consecutive naturals, for example, 34327 + ... + 35513.

Almost surely, 241450040 is an apocalyptic number.

41450040 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 41450040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).

41450040 is an abundant number, since it is smaller than the sum of its proper divisors (94766040).

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

41450040 is a wasteful number, since it uses less digits than its factorization.

41450040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 41450040 is about 6438.1705476012. The cubic root of 41450040 is about 346.0787907927.

Adding to 41450040 its reverse (4005414), we get a palindrome (45455454).

The spelling of 41450040 in words is "forty-one million, four hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1187 1455 1746 1940 2328 2374 2910 3492 3561 3880 4365 4748 5820 5935 6984 7122 8730 9496 10683 11640 11870 14244 17460 17805 21366 23740 28488 34920 35610 42732 47480 53415 71220 85464 106830 115139 142440 213660 230278 345417 427320 460556 575695 690834 921112 1036251 1151390 1381668 1727085 2072502 2302780 2763336 3454170 4145004 4605560 5181255 6908340 8290008 10362510 13816680 20725020 41450040