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41466816 = 263419421
BaseRepresentation
bin1001111000101…
…1101111000000
32220000201210000
42132023233000
541103414231
64040440000
71012314336
oct236135700
986021700
1041466816
11214526a6
1211a79000
13878b3a1
145715b56
1539916e6
hex278bbc0

41466816 has 140 divisors (see below), whose sum is σ = 129697480. Its totient is φ = 13063680.

The previous prime is 41466779. The next prime is 41466833. The reversal of 41466816 is 61866414.

41466816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 98286 + ... + 98706.

Almost surely, 241466816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64848740).

41466816 is an abundant number, since it is smaller than the sum of its proper divisors (88230664).

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

41466816 is a wasteful number, since it uses less digits than its factorization.

41466816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41466816 is about 6439.4732703848. The cubic root of 41466816 is about 346.1254737771.

The spelling of 41466816 in words is "forty-one million, four hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 421 432 456 513 576 608 648 684 842 864 912 1026 1216 1263 1296 1368 1539 1684 1728 1824 2052 2526 2592 2736 3078 3368 3648 3789 4104 5052 5184 5472 6156 6736 7578 7999 8208 10104 10944 11367 12312 13472 15156 15998 16416 20208 22734 23997 24624 26944 30312 31996 32832 34101 40416 45468 47994 49248 60624 63992 68202 71991 80832 90936 95988 98496 121248 127984 136404 143982 181872 191976 215973 242496 255968 272808 287964 363744 383952 431946 511936 545616 575928 647919 727488 767904 863892 1091232 1151856 1295838 1535808 1727784 2182464 2303712 2591676 3455568 4607424 5183352 6911136 10366704 13822272 20733408 41466816