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40780400 = 2452269379
BaseRepresentation
bin1001101110010…
…0001001110000
32211201212012012
42123210021300
540414433100
64014022052
71003425203
oct233441160
984655165
1040780400
1121023a11
12117a7928
1385aab1b
1455b793a
1538a8135
hex26e4270

40780400 has 60 divisors (see below), whose sum is σ = 98598600. Its totient is φ = 16208640.

The previous prime is 40780393. The next prime is 40780417. The reversal of 40780400 is 408704.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 107411 + ... + 107789.

It is an arithmetic number, because the mean of its divisors is an integer number (1643310).

Almost surely, 240780400 is an apocalyptic number.

40780400 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 40780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49299300).

40780400 is an abundant number, since it is smaller than the sum of its proper divisors (57818200).

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

40780400 is a wasteful number, since it uses less digits than its factorization.

40780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 40780400 is about 6385.9533352507. The cubic root of 40780400 is about 344.2049886943.

The spelling of 40780400 in words is "forty million, seven hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 269 379 400 538 758 1076 1345 1516 1895 2152 2690 3032 3790 4304 5380 6064 6725 7580 9475 10760 13450 15160 18950 21520 26900 30320 37900 53800 75800 101951 107600 151600 203902 407804 509755 815608 1019510 1631216 2039020 2548775 4078040 5097550 8156080 10195100 20390200 40780400