Search a number
-
+
40859104 = 2511138929
BaseRepresentation
bin1001101111011…
…1010111100000
32211212212011011
42123313113200
540424442404
64015430304
71004203516
oct233672740
984785134
1040859104
1121078060
1211825394
1386078b0
1455d84b6
1538c1604
hex26f75e0

40859104 has 48 divisors (see below), whose sum is σ = 94515120. Its totient is φ = 17141760.

The previous prime is 40859089. The next prime is 40859111. The reversal of 40859104 is 40195804.

It is a happy number.

40859104 is nontrivially palindromic in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112 + ... + 9040.

It is an arithmetic number, because the mean of its divisors is an integer number (1969065).

Almost surely, 240859104 is an apocalyptic number.

40859104 is a gapful number since it is divisible by the number (44) 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 40859104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47257560).

40859104 is an abundant number, since it is smaller than the sum of its proper divisors (53656016).

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

40859104 is a wasteful number, since it uses less digits than its factorization.

40859104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963 (or 8955 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 40859104 is about 6392.1126398085. The cubic root of 40859104 is about 344.4262788277.

The spelling of 40859104 in words is "forty million, eight hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 8929 17858 35716 71432 98219 116077 142864 196438 232154 285728 392876 464308 785752 928616 1276847 1571504 1857232 2553694 3143008 3714464 5107388 10214776 20429552 40859104