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400240026 = 23237600961
BaseRepresentation
bin10111110110110…
…010110110011010
31000220010022002200
4113312302312122
51304430140101
6103414311030
712626661354
oct2766626632
91026108080
10400240026
11195a1a28a
12b2058476
1364bc6924
143b2280d4
152520e986
hex17db2d9a

400240026 has 24 divisors (see below), whose sum is σ = 890625684. Its totient is φ = 129807360.

The previous prime is 400240021. The next prime is 400240033. The reversal of 400240026 is 620042004.

400240026 is a `hidden beast` number, since 400 + 240 + 0 + 26 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 361190025 + 39050001 = 19005^2 + 6249^2 .

It is a super-4 number, since 4×4002400264 (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400239990 and 400240008.

It is not an unprimeable number, because it can be changed into a prime (400240021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299815 + ... + 301146.

Almost surely, 2400240026 is an apocalyptic number.

400240026 is an abundant number, since it is smaller than the sum of its proper divisors (490385658).

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

400240026 is a wasteful number, since it uses less digits than its factorization.

400240026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601006 (or 601003 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400240026 is about 20005.9997500750. Note that the first 3 decimals coincide. The cubic root of 400240026 is about 736.9536474833.

The spelling of 400240026 in words is "four hundred million, two hundred forty thousand, twenty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 600961 1201922 1802883 3605766 5408649 10817298 22235557 44471114 66706671 133413342 200120013 400240026