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47629001 = 747712039
BaseRepresentation
bin1011010110110…
…0001011001001
310022121210201002
42311230023021
544143112001
64420504345
71115561030
oct265541311
9108553632
1047629001
1124981412
1213b4b0b5
139b38154
14647b717
1542ac46b
hex2d6c2c9

47629001 has 16 divisors (see below), whose sum is σ = 56401920. Its totient is φ = 39374160.

The previous prime is 47628949. The next prime is 47629061. The reversal of 47629001 is 10092674.

47629001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 47629001 - 210 = 47627977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47629061) 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, 22340 + ... + 24378.

It is an arithmetic number, because the mean of its divisors is an integer number (3525120).

Almost surely, 247629001 is an apocalyptic number.

It is an amenable number.

47629001 is a deficient number, since it is larger than the sum of its proper divisors (8772919).

47629001 is a wasteful number, since it uses less digits than its factorization.

47629001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 47629001 is about 6901.3767467079. The cubic root of 47629001 is about 362.4853765009.

The spelling of 47629001 in words is "forty-seven million, six hundred twenty-nine thousand, one".

Divisors: 1 7 47 71 329 497 2039 3337 14273 23359 95833 144769 670831 1013383 6804143 47629001