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40400000 = 2755101
BaseRepresentation
bin1001101000011…
…1010010000000
32211000112101022
42122013102000
540320300000
64001525012
71000252154
oct232072200
984015338
1040400000
1120894133
1211643768
1384a6934
145519064
153830585
hex2687480

40400000 has 96 divisors (see below), whose sum is σ = 101595060. Its totient is φ = 16000000.

The previous prime is 40399981. The next prime is 40400011. The reversal of 40400000 is 404.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 153664 + 40246336 = 392^2 + 6344^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399950 + ... + 400050.

Almost surely, 240400000 is an apocalyptic number.

40400000 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 40400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50797530).

40400000 is an abundant number, since it is smaller than the sum of its proper divisors (61195060).

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

40400000 is an frugal number, since it uses more digits than its factorization.

40400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 40400000 is about 6356.0994328283. The cubic root of 40400000 is about 343.1313943243.

Adding to 40400000 its reverse (404), we get a palindrome (40400404).

40400000 divided by its reverse (404) gives a 5-th power (100000 = 105).

It can be divided in two parts, 40 and 400000, that multiplied together give a square (16000000 = 40002).

The spelling of 40400000 in words is "forty million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 128 160 200 202 250 320 400 404 500 505 625 640 800 808 1000 1010 1250 1600 1616 2000 2020 2500 2525 3125 3200 3232 4000 4040 5000 5050 6250 6464 8000 8080 10000 10100 12500 12625 12928 16000 16160 20000 20200 25000 25250 32320 40000 40400 50000 50500 63125 64640 80000 80800 100000 101000 126250 161600 200000 202000 252500 315625 323200 400000 404000 505000 631250 808000 1010000 1262500 1616000 2020000 2525000 4040000 5050000 8080000 10100000 20200000 40400000