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46812493 = 721325653
BaseRepresentation
bin1011001010010…
…0110101001101
310021002022200001
42302210311031
543440444433
64351204301
71105620400
oct262446515
9107068601
1046812493
1124473a12
1213816691
139910600
146307d37
15419a57d
hex2ca4d4d

46812493 has 18 divisors (see below), whose sum is σ = 58976874. Its totient is φ = 37031904.

The previous prime is 46812481. The next prime is 46812497. The reversal of 46812493 is 39421864.

46812493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1087849 + 45724644 = 1043^2 + 6762^2 .

It is not a de Polignac number, because 46812493 - 29 = 46811981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46812497) 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 17 ways as a sum of consecutive naturals, for example, 5455 + ... + 11107.

It is an arithmetic number, because the mean of its divisors is an integer number (3276493).

Almost surely, 246812493 is an apocalyptic number.

It is an amenable number.

46812493 is a deficient number, since it is larger than the sum of its proper divisors (12164381).

46812493 is a wasteful number, since it uses less digits than its factorization.

46812493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693 (or 5673 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 46812493 is about 6841.9655801531. The cubic root of 46812493 is about 360.4020533856.

It can be divided in two parts, 468 and 12493, that multiplied together give a square (5846724 = 24182).

The spelling of 46812493 in words is "forty-six million, eight hundred twelve thousand, four hundred ninety-three".

Divisors: 1 7 13 49 91 169 637 1183 5653 8281 39571 73489 276997 514423 955357 3600961 6687499 46812493