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47057820 = 22351315987
BaseRepresentation
bin1011001110000…
…0101110011100
310021112210012020
42303200232130
544021322240
64400340140
71110661545
oct263405634
9107483166
1047057820
1124621267
1213914650
139998184
14636d4cc
1541e80d0
hex2ce0b9c

47057820 has 48 divisors (see below), whose sum is σ = 132789888. Its totient is φ = 12450880.

The previous prime is 47057809. The next prime is 47057827. The reversal of 47057820 is 2875074.

47057820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47057827) 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, 4867 + ... + 10853.

It is an arithmetic number, because the mean of its divisors is an integer number (2766456).

Almost surely, 247057820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47057820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66394944).

47057820 is an abundant number, since it is smaller than the sum of its proper divisors (85732068).

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

47057820 is a wasteful number, since it uses less digits than its factorization.

47057820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 47057820 is about 6859.8702611638. The cubic root of 47057820 is about 361.0305348338.

The spelling of 47057820 in words is "forty-seven million, fifty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 5987 7860 11974 17961 23948 29935 35922 59870 71844 89805 119740 179610 359220 784297 1568594 2352891 3137188 3921485 4705782 7842970 9411564 11764455 15685940 23528910 47057820