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40878768 = 2437891367
BaseRepresentation
bin1001101111110…
…0001010110000
32211220212010110
42123330022300
540431110033
64020101320
71004315040
oct233741260
984825113
1040878768
1121090907
1211834840
138613828
145601720
1538c7363
hex26fc2b0

40878768 has 80 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 11539968.

The previous prime is 40878737. The next prime is 40878769. The reversal of 40878768 is 86787804.

40878768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (40878769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29221 + ... + 30587.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 240878768 is an apocalyptic number.

40878768 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 40878768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

40878768 is an abundant number, since it is smaller than the sum of its proper divisors (81256272).

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

40878768 is a wasteful number, since it uses less digits than its factorization.

40878768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 40878768 is about 6393.6506004004. The cubic root of 40878768 is about 344.4815232447.

The spelling of 40878768 in words is "forty million, eight hundred seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 623 712 1068 1246 1367 1424 1869 2136 2492 2734 3738 4101 4272 4984 5468 7476 8202 9569 9968 10936 14952 16404 19138 21872 28707 29904 32808 38276 57414 65616 76552 114828 121663 153104 229656 243326 364989 459312 486652 729978 851641 973304 1459956 1703282 1946608 2554923 2919912 3406564 5109846 5839824 6813128 10219692 13626256 20439384 40878768