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41424978 = 23719233761
BaseRepresentation
bin1001111000000…
…1100001010010
32212221121101110
42132001201102
541101044403
64035514150
71012051350
oct236014122
985847343
1041424978
1121424221
1211a58956
13877532a
1457047d0
153984103
hex2781852

41424978 has 128 divisors (see below), whose sum is σ = 108564480. Its totient is φ = 10264320.

The previous prime is 41424973. The next prime is 41424979. The reversal of 41424978 is 87942414.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41424973) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679068 + ... + 679128.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 241424978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41424978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54282240).

41424978 is an abundant number, since it is smaller than the sum of its proper divisors (67139502).

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

41424978 is a wasteful number, since it uses less digits than its factorization.

41424978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152.

The product of its digits is 64512, while the sum is 39.

The square root of 41424978 is about 6436.2238929360. The cubic root of 41424978 is about 346.0090266838.

The spelling of 41424978 in words is "forty-one million, four hundred twenty-four thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 14 19 21 23 37 38 42 46 57 61 69 74 111 114 122 133 138 161 183 222 259 266 322 366 399 427 437 483 518 703 777 798 851 854 874 966 1159 1281 1311 1403 1406 1554 1702 2109 2257 2318 2553 2562 2622 2806 3059 3477 4209 4218 4514 4921 5106 5957 6118 6771 6954 8113 8418 9177 9821 9842 11914 13542 14763 15799 16169 16226 17871 18354 19642 24339 26657 29463 29526 31598 32338 35742 42883 47397 48507 48678 51911 53314 58926 79971 85766 94794 97014 103822 113183 128649 155733 159942 186599 226366 257298 300181 311466 339549 363377 373198 559797 600362 679098 726754 900543 986309 1090131 1119594 1801086 1972618 2180262 2958927 5917854 6904163 13808326 20712489 41424978