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46400641 = 719409853
BaseRepresentation
bin1011000100000…
…0010010000001
310020022101201021
42301000102001
543334310031
64334305441
71102253560
oct261002201
9106271637
1046400641
1124212541
1213658281
1397c8001
14623bbd7
154118511
hex2c40481

46400641 has 16 divisors (see below), whose sum is σ = 56022400. Its totient is φ = 37542528.

The previous prime is 46400623. The next prime is 46400647. The reversal of 46400641 is 14600464.

It is a cyclic number.

It is not a de Polignac number, because 46400641 - 29 = 46400129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46400647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53971 + ... + 54823.

It is an arithmetic number, because the mean of its divisors is an integer number (3501400).

Almost surely, 246400641 is an apocalyptic number.

It is an amenable number.

46400641 is a deficient number, since it is larger than the sum of its proper divisors (9621759).

46400641 is a wasteful number, since it uses less digits than its factorization.

46400641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288.

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 46400641 is about 6811.8015972282. The cubic root of 46400641 is about 359.3420105420.

The spelling of 46400641 in words is "forty-six million, four hundred thousand, six hundred forty-one".

Divisors: 1 7 19 133 409 853 2863 5971 7771 16207 54397 113449 348877 2442139 6628663 46400641