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40696400 = 2452101741
BaseRepresentation
bin1001101100111…
…1101001010000
32211120120222002
42123033221100
540404241100
64012133132
71002625253
oct233175120
984516862
1040696400
1120a76898
12117671a8
13857b814
14559509a
15388d2d5
hex26cfa50

40696400 has 30 divisors (see below), whose sum is σ = 97774062. Its totient is φ = 16278400.

The previous prime is 40696393. The next prime is 40696427. The reversal of 40696400 is 469604.

40696400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 602176 + 40094224 = 776^2 + 6332^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50471 + ... + 51270.

Almost surely, 240696400 is an apocalyptic number.

40696400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40696400 is an abundant number, since it is smaller than the sum of its proper divisors (57077662).

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

40696400 is a wasteful number, since it uses less digits than its factorization.

40696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101759 (or 101748 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 40696400 is about 6379.3730099438. The cubic root of 40696400 is about 343.9684935991.

The spelling of 40696400 in words is "forty million, six hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 101741 203482 406964 508705 813928 1017410 1627856 2034820 2543525 4069640 5087050 8139280 10174100 20348200 40696400