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40001353 = 7291011951
BaseRepresentation
bin1001100010010…
…1111101001001
32210021021112121
42120211331021
540220020403
63545211241
7664002010
oct230457511
983237477
1040001353
1120641677
1211490b21
138397352
145453a77
1537a23bd
hex2625f49

40001353 has 16 divisors (see below), whose sum is σ = 47784960. Its totient is φ = 32760000.

The previous prime is 40001303. The next prime is 40001359. The reversal of 40001353 is 35310004.

40001353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-40001353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40001359) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19528 + ... + 21478.

It is an arithmetic number, because the mean of its divisors is an integer number (2986560).

Almost surely, 240001353 is an apocalyptic number.

It is an amenable number.

40001353 is a deficient number, since it is larger than the sum of its proper divisors (7783607).

40001353 is a wasteful number, since it uses less digits than its factorization.

40001353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 40001353 is about 6324.6622834741. The cubic root of 40001353 is about 341.9990452876. Note that the first 3 decimals are identical.

Adding to 40001353 its reverse (35310004), we get a palindrome (75311357).

The spelling of 40001353 in words is "forty million, one thousand, three hundred fifty-three".

Divisors: 1 7 29 101 203 707 1951 2929 13657 20503 56579 197051 396053 1379357 5714479 40001353