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41420288 = 297213127
BaseRepresentation
bin1001111000000…
…0011000000000
32212221100221202
42132000120000
541100422123
64035440332
71012031600
oct236003000
985840852
1041420288
1121420748
1211a560a8
138773160
145702c00
153982a28
hex2780600

41420288 has 120 divisors (see below), whose sum is σ = 104493312. Its totient is φ = 16257024.

The previous prime is 41420287. The next prime is 41420297. The reversal of 41420288 is 88202414.

It is a self number, because there is not a number n which added to its sum of digits gives 41420288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41420287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326081 + ... + 326207.

Almost surely, 241420288 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 41420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52246656).

41420288 is an abundant number, since it is smaller than the sum of its proper divisors (63073024).

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

41420288 is a wasteful number, since it uses less digits than its factorization.

41420288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 41420288 is about 6435.8595385543. The cubic root of 41420288 is about 345.9959681890.

It can be divided in two parts, 414 and 20288, that added together give a palindrome (20702).

The spelling of 41420288 in words is "forty-one million, four hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 127 128 182 196 208 224 254 256 364 392 416 448 508 512 637 728 784 832 889 896 1016 1274 1456 1568 1651 1664 1778 1792 2032 2548 2912 3136 3302 3328 3556 3584 4064 5096 5824 6223 6272 6604 6656 7112 8128 10192 11557 11648 12446 12544 13208 14224 16256 20384 23114 23296 24892 25088 26416 28448 32512 40768 46228 46592 49784 52832 56896 65024 80899 81536 92456 99568 105664 113792 161798 163072 184912 199136 211328 227584 323596 326144 369824 398272 422656 455168 647192 739648 796544 845312 1294384 1479296 1593088 2588768 2958592 3186176 5177536 5917184 10355072 20710144 41420288