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40572100 = 2252433937
BaseRepresentation
bin1001101011000…
…1010011000100
32211100021110101
42122301103010
540341301400
64005333444
71001600002
oct232612304
984307411
1040572100
11209a1468
1211707284
13853707a
145561a72
15386656a
hex26b14c4

40572100 has 36 divisors (see below), whose sum is σ = 88338964. Its totient is φ = 16174080.

The previous prime is 40572079. The next prime is 40572101. The reversal of 40572100 is 127504.

It can be written as a sum of positive squares in 6 ways, for example, as 14500864 + 26071236 = 3808^2 + 5106^2 .

It is not an unprimeable number, because it can be changed into a prime (40572101) by changing a digit.

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, 42832 + ... + 43768.

Almost surely, 240572100 is an apocalyptic number.

It is an amenable number.

40572100 is an abundant number, since it is smaller than the sum of its proper divisors (47766864).

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

40572100 is a wasteful number, since it uses less digits than its factorization.

40572100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 40572100 is about 6369.6232227660. The cubic root of 40572100 is about 343.6179393546.

Adding to 40572100 its reverse (127504), we get a palindrome (40699604).

The spelling of 40572100 in words is "forty million, five hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 433 866 937 1732 1874 2165 3748 4330 4685 8660 9370 10825 18740 21650 23425 43300 46850 93700 405721 811442 1622884 2028605 4057210 8114420 10143025 20286050 40572100