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41426840 = 23571319599
BaseRepresentation
bin1001111000000…
…1111110011000
32212221200221102
42132001332120
541101124330
64035530532
71012056650
oct236017630
985850842
1041426840
1121425664
1211a59a48
138776130
145705360
153984945
hex2781f98

41426840 has 128 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 12400128.

The previous prime is 41426831. The next prime is 41426873. The reversal of 41426840 is 4862414.

41426840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 68861 + ... + 69459.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 241426840 is an apocalyptic number.

41426840 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 41426840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

41426840 is an abundant number, since it is smaller than the sum of its proper divisors (79533160).

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

41426840 is a wasteful number, since it uses less digits than its factorization.

41426840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 41426840 is about 6436.3685413438. The cubic root of 41426840 is about 346.0142108278.

The spelling of 41426840 in words is "forty-one million, four hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 599 665 728 760 910 988 1064 1198 1235 1330 1729 1820 1976 2396 2470 2660 2995 3458 3640 4193 4792 4940 5320 5990 6916 7787 8386 8645 9880 11381 11980 13832 15574 16772 17290 20965 22762 23960 31148 33544 34580 38935 41930 45524 54509 56905 62296 69160 77870 79667 83860 91048 109018 113810 147953 155740 159334 167720 218036 227620 272545 295906 311480 318668 398335 436072 455240 545090 591812 637336 739765 796670 1035671 1090180 1183624 1479530 1593340 2071342 2180360 2959060 3186680 4142684 5178355 5918120 8285368 10356710 20713420 41426840