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46628685 = 32541127199
BaseRepresentation
bin1011000111011…
…1111101001101
310020201222112100
42301313331031
543414104220
64343225313
71104223455
oct261677515
9106658470
1046628685
1124358904
1213748239
139877a4c
14629ad65
154160d90
hex2c77f4d

46628685 has 48 divisors (see below), whose sum is σ = 83865600. Its totient is φ = 23950080.

The previous prime is 46628669. The next prime is 46628689. The reversal of 46628685 is 58682664.

It is not a de Polignac number, because 46628685 - 24 = 46628669 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 46628685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46628689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234216 + ... + 234414.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 246628685 is an apocalyptic number.

46628685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46628685 is a deficient number, since it is larger than the sum of its proper divisors (37236915).

46628685 is a wasteful number, since it uses less digits than its factorization.

46628685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 375 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 46628685 is about 6828.5199714140. The cubic root of 46628685 is about 359.9297316556.

The spelling of 46628685 in words is "forty-six million, six hundred twenty-eight thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 41 45 123 127 199 205 369 381 597 615 635 995 1143 1791 1845 1905 2985 5207 5715 8159 8955 15621 24477 25273 26035 40795 46863 73431 75819 78105 122385 126365 227457 234315 367155 379095 1036193 1137285 3108579 5180965 9325737 15542895 46628685