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46972845 = 3351918313
BaseRepresentation
bin1011001100101…
…1111110101101
310021101110122000
42303023332231
544011112340
64354442513
71110156033
oct263137655
9107343560
1046972845
1124573437
1213893439
1399685aa
14634a553
1541ccd30
hex2ccbfad

46972845 has 32 divisors (see below), whose sum is σ = 87907200. Its totient is φ = 23732352.

The previous prime is 46972811. The next prime is 46972873. The reversal of 46972845 is 54827964.

It is a happy number.

It is not a de Polignac number, because 46972845 - 29 = 46972333 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46972845.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6592 + ... + 11721.

It is an arithmetic number, because the mean of its divisors is an integer number (2747100).

Almost surely, 246972845 is an apocalyptic number.

46972845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46972845 is a deficient number, since it is larger than the sum of its proper divisors (40934355).

46972845 is a wasteful number, since it uses less digits than its factorization.

46972845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18346 (or 18340 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 46972845 is about 6853.6738323326. The cubic root of 46972845 is about 360.8130927291.

The spelling of 46972845 in words is "forty-six million, nine hundred seventy-two thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2565 18313 54939 91565 164817 274695 347947 494451 824085 1043841 1739735 2472255 3131523 5219205 9394569 15657615 46972845