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47629890 = 23357112979
BaseRepresentation
bin1011010110110…
…0011001000010
310022121211221000
42311230121002
544143124030
64420512430
71115563440
oct265543102
9108554830
1047629890
1124982050
1213b4b716
139b38689
14647bb90
1542ac860
hex2d6c642

47629890 has 256 divisors, whose sum is σ = 165888000. Its totient is φ = 9434880.

The previous prime is 47629889. The next prime is 47629909. The reversal of 47629890 is 9892674.

It is a happy number.

47629890 is a `hidden beast` number, since 476 + 2 + 98 + 90 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 602871 + ... + 602949.

It is an arithmetic number, because the mean of its divisors is an integer number (648000).

Almost surely, 247629890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47629890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944000).

47629890 is an abundant number, since it is smaller than the sum of its proper divisors (118258110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47629890 is a wasteful number, since it uses less digits than its factorization.

47629890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 47629890 is about 6901.4411538461. The cubic root of 47629890 is about 362.4876317619.

The spelling of 47629890 in words is "forty-seven million, six hundred twenty-nine thousand, eight hundred ninety".