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40689864 = 23366977
BaseRepresentation
bin1001101100111…
…0000011001000
32211120021000000
42123032003020
540404033424
64012043000
71002600225
oct233160310
984507000
1040689864
1120a71996
1211763460
138578857
14559294c
15388b3c9
hex26ce0c8

40689864 has 56 divisors (see below), whose sum is σ = 114404310. Its totient is φ = 13561344.

The previous prime is 40689839. The next prime is 40689893. The reversal of 40689864 is 46898604.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 38564100 + 2125764 = 6210^2 + 1458^2 .

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 13 ways as a sum of consecutive naturals, for example, 2344 + ... + 9320.

Almost surely, 240689864 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 40689864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57202155).

40689864 is an abundant number, since it is smaller than the sum of its proper divisors (73714446).

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

40689864 is an equidigital number, since it uses as much as digits as its factorization.

40689864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 40689864 is about 6378.8607133249. The cubic root of 40689864 is about 343.9500783876.

The spelling of 40689864 in words is "forty million, six hundred eighty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 6977 13954 20931 27908 41862 55816 62793 83724 125586 167448 188379 251172 376758 502344 565137 753516 1130274 1507032 1695411 2260548 3390822 4521096 5086233 6781644 10172466 13563288 20344932 40689864