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47689920 = 2632529571
BaseRepresentation
bin1011010111101…
…1000011000000
310022201220021100
42311323003000
544202034140
64422054400
71116233445
oct265730300
9108656240
1047689920
1124a13163
1213b7a400
139b59ab5
1464959cc
1542c0530
hex2d7b0c0

47689920 has 168 divisors, whose sum is σ = 169986960. Its totient is φ = 12257280.

The previous prime is 47689909. The next prime is 47689921. The reversal of 47689920 is 2998674.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (47689921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83235 + ... + 83805.

Almost surely, 247689920 is an apocalyptic number.

47689920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84993480).

47689920 is an abundant number, since it is smaller than the sum of its proper divisors (122297040).

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

47689920 is a wasteful number, since it uses less digits than its factorization.

47689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 610 counting only the distinct ones).

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

The square root of 47689920 is about 6905.7888760083. The cubic root of 47689920 is about 362.6398540827.

The spelling of 47689920 in words is "forty-seven million, six hundred eighty-nine thousand, nine hundred twenty".