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41022072 = 23337132087
BaseRepresentation
bin1001110001111…
…1001001111000
32212012010201000
42130133021320
541000201242
64023125000
71005452610
oct234371170
985163630
1041022072
1121179543
12118a3760
138663b20
14563ba40
153904a4c
hex271f278

41022072 has 128 divisors (see below), whose sum is σ = 140313600. Its totient is φ = 10813824.

The previous prime is 41022061. The next prime is 41022103. The reversal of 41022072 is 27022014.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18613 + ... + 20699.

It is an arithmetic number, because the mean of its divisors is an integer number (1096200).

Almost surely, 241022072 is an apocalyptic number.

41022072 is a gapful number since it is divisible by the number (42) 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 41022072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70156800).

41022072 is an abundant number, since it is smaller than the sum of its proper divisors (99291528).

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

41022072 is a wasteful number, since it uses less digits than its factorization.

41022072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 41022072 is about 6404.8475391691. The cubic root of 41022072 is about 344.8835902151.

Adding to 41022072 its reverse (27022014), we get a palindrome (68044086).

The spelling of 41022072 in words is "forty-one million, twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2087 2184 2457 2808 3276 4174 4914 6261 6552 8348 9828 12522 14609 16696 18783 19656 25044 27131 29218 37566 43827 50088 54262 56349 58436 75132 81393 87654 108524 112698 116872 131481 150264 162786 175308 189917 217048 225396 244179 262962 325572 350616 379834 394443 450792 488358 525924 569751 651144 732537 759668 788886 976716 1051848 1139502 1465074 1519336 1577772 1709253 1953432 2279004 2930148 3155544 3418506 4558008 5127759 5860296 6837012 10255518 13674024 20511036 41022072