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40424076 = 22337114861
BaseRepresentation
bin1001101000110…
…1001010001100
32211001202102000
42122031022030
540322032301
64002232300
71000412310
oct232151214
984052360
1040424076
1120900230
1211655690
1384b4894
145523b40
153837786
hex268d28c

40424076 has 96 divisors (see below), whose sum is σ = 130690560. Its totient is φ = 10497600.

The previous prime is 40424051. The next prime is 40424081. The reversal of 40424076 is 67042404.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5886 + ... + 10746.

It is an arithmetic number, because the mean of its divisors is an integer number (1361360).

Almost surely, 240424076 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 40424076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65345280).

40424076 is an abundant number, since it is smaller than the sum of its proper divisors (90266484).

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

40424076 is a wasteful number, since it uses less digits than its factorization.

40424076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 40424076 is about 6357.9930795810. The cubic root of 40424076 is about 343.1995427643.

It can be divided in two parts, 4042 and 4076, that added together give a palindrome (8118).

The spelling of 40424076 in words is "forty million, four hundred twenty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 4861 8316 9722 14583 19444 29166 34027 43749 53471 58332 68054 87498 102081 106942 131247 136108 160413 174996 204162 213884 262494 306243 320826 374297 408324 481239 524988 612486 641652 748594 918729 962478 1122891 1224972 1443717 1497188 1837458 1924956 2245782 2887434 3368673 3674916 4491564 5774868 6737346 10106019 13474692 20212038 40424076