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41216256 = 28336789
BaseRepresentation
bin1001110100111…
…0100100000000
32212120000002000
42131032210000
541022410011
64031224000
71010222004
oct235164400
985500060
1041216256
11212a1424
1211978000
138701323
14568c704
153942356
hex274e900

41216256 has 144 divisors (see below), whose sum is σ = 125092800. Its totient is φ = 13381632.

The previous prime is 41216251. The next prime is 41216303. The reversal of 41216256 is 65261214.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41216251) 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, 463060 + ... + 463148.

It is an arithmetic number, because the mean of its divisors is an integer number (868700).

Almost surely, 241216256 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 41216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62546400).

41216256 is an abundant number, since it is smaller than the sum of its proper divisors (83876544).

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

41216256 is an equidigital number, since it uses as much as digits as its factorization.

41216256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 41216256 is about 6419.9887850369. The cubic root of 41216256 is about 345.4269195066.

The spelling of 41216256 in words is "forty-one million, two hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 89 96 108 128 134 144 178 192 201 216 256 267 268 288 356 384 402 432 534 536 576 603 712 768 801 804 864 1068 1072 1152 1206 1424 1602 1608 1728 1809 2136 2144 2304 2403 2412 2848 3204 3216 3456 3618 4272 4288 4806 4824 5696 5963 6408 6432 6912 7236 8544 8576 9612 9648 11392 11926 12816 12864 14472 17088 17152 17889 19224 19296 22784 23852 25632 25728 28944 34176 35778 38448 38592 47704 51264 51456 53667 57888 68352 71556 76896 77184 95408 102528 107334 115776 143112 153792 154368 161001 190816 205056 214668 231552 286224 307584 322002 381632 429336 463104 572448 615168 644004 763264 858672 1144896 1288008 1526528 1717344 2289792 2576016 3434688 4579584 5152032 6869376 10304064 13738752 20608128 41216256