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40054400 = 275212517
BaseRepresentation
bin1001100011001…
…0111010000000
32210100222022022
42120302322000
540223220100
63550301012
7664312451
oct230627200
983328268
1040054400
1120678511
12114b7768
1383b5539
145469128
1537b2e85
hex2632e80

40054400 has 48 divisors (see below), whose sum is σ = 98954790. Its totient is φ = 16020480.

The previous prime is 40054373. The next prime is 40054433. The reversal of 40054400 is 445004.

It can be written as a sum of positive squares in 3 ways, for example, as 37258816 + 2795584 = 6104^2 + 1672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3059 + ... + 9458.

Almost surely, 240054400 is an apocalyptic number.

40054400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40054400 is an abundant number, since it is smaller than the sum of its proper divisors (58900390).

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

40054400 is a wasteful number, since it uses less digits than its factorization.

40054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12524 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 40054400 is about 6328.8545567109. The cubic root of 40054400 is about 342.1501569237.

Adding to 40054400 its reverse (445004), we get a palindrome (40499404).

The spelling of 40054400 in words is "forty million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 12517 25034 50068 62585 100136 125170 200272 250340 312925 400544 500680 625850 801088 1001360 1251700 1602176 2002720 2503400 4005440 5006800 8010880 10013600 20027200 40054400