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40972400 = 2452714633
BaseRepresentation
bin1001110001001…
…1000001110000
32212002121120022
42130103001300
540442104100
64022103012
71005155030
oct234230160
985077508
1040972400
1121145197
121187aa68
138647331
1456278c0
1538e4e85
hex2713070

40972400 has 60 divisors (see below), whose sum is σ = 112506192. Its totient is φ = 14046720.

The previous prime is 40972279. The next prime is 40972403. The reversal of 40972400 is 427904.

It is a self number, because there is not a number n which added to its sum of digits gives 40972400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40972403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4517 + ... + 10116.

Almost surely, 240972400 is an apocalyptic number.

40972400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40972400 is an abundant number, since it is smaller than the sum of its proper divisors (71533792).

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

40972400 is a wasteful number, since it uses less digits than its factorization.

40972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14658 (or 14647 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 40972400 is about 6400.9686766926. The cubic root of 40972400 is about 344.7443320389.

The spelling of 40972400 in words is "forty million, nine hundred seventy-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 14633 29266 58532 73165 102431 117064 146330 204862 234128 292660 365825 409724 512155 585320 731650 819448 1024310 1170640 1463300 1638896 2048620 2560775 2926600 4097240 5121550 5853200 8194480 10243100 20486200 40972400