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40423008 = 2531723147
BaseRepresentation
bin1001101000110…
…0111001100000
32211001200221110
42122030321200
540322014013
64002223320
71000406223
oct232147140
984050843
1040423008
11208aa44a
1211654b40
1384b4252
1455235ba
1538372c3
hex268ce60

40423008 has 144 divisors (see below), whose sum is σ = 118831104. Its totient is φ = 12011520.

The previous prime is 40423001. The next prime is 40423057. The reversal of 40423008 is 80032404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40423001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 860041 + ... + 860087.

It is an arithmetic number, because the mean of its divisors is an integer number (825216).

Almost surely, 240423008 is an apocalyptic number.

40423008 is a gapful number since it is divisible by the number (48) 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 40423008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59415552).

40423008 is an abundant number, since it is smaller than the sum of its proper divisors (78408096).

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

40423008 is a wasteful number, since it uses less digits than its factorization.

40423008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40423008 is about 6357.9090902592. The cubic root of 40423008 is about 343.1965203053.

The spelling of 40423008 in words is "forty million, four hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 47 48 51 62 68 93 94 96 102 124 136 141 186 188 204 248 272 282 289 372 376 408 496 527 544 564 578 744 752 799 816 867 992 1054 1128 1156 1457 1488 1504 1581 1598 1632 1734 2108 2256 2312 2397 2914 2976 3162 3196 3468 4216 4371 4512 4624 4794 5828 6324 6392 6936 8432 8742 8959 9248 9588 11656 12648 12784 13583 13872 16864 17484 17918 19176 23312 24769 25296 25568 26877 27166 27744 34968 35836 38352 40749 46624 49538 50592 53754 54332 69936 71672 74307 76704 81498 99076 107508 108664 139872 143344 148614 162996 198152 215016 217328 286688 297228 325992 396304 421073 430032 434656 594456 651984 792608 842146 860064 1188912 1263219 1303968 1684292 2377824 2526438 3368584 5052876 6737168 10105752 13474336 20211504 40423008