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40707400 = 2352375501
BaseRepresentation
bin1001101101001…
…0010101001000
32211121011001111
42123102111020
540410114100
64012300104
71003002316
oct233222510
984534044
1040707400
1120a84088
1211771634
138583826
1455990b6
1538916ba
hex26d2548

40707400 has 48 divisors (see below), whose sum is σ = 97220340. Its totient is φ = 15840000.

The previous prime is 40707397. The next prime is 40707409. The reversal of 40707400 is 470704.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 35259844 + 5447556 = 5938^2 + 2334^2 .

It is not an unprimeable number, because it can be changed into a prime (40707409) 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 11 ways as a sum of consecutive naturals, for example, 4650 + ... + 10150.

Almost surely, 240707400 is an apocalyptic number.

40707400 is a gapful number since it is divisible by the number (40) 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 40707400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48610170).

40707400 is an abundant number, since it is smaller than the sum of its proper divisors (56512940).

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

40707400 is a wasteful number, since it uses less digits than its factorization.

40707400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 40707400 is about 6380.2351053860. The cubic root of 40707400 is about 343.9994817010. Note that the first 3 decimals are identical.

The spelling of 40707400 in words is "forty million, seven hundred seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 5501 7400 11002 22004 27505 44008 55010 110020 137525 203537 220040 275050 407074 550100 814148 1017685 1100200 1628296 2035370 4070740 5088425 8141480 10176850 20353700 40707400