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947051028 = 2234721121729
BaseRepresentation
bin111000011100101…
…101101000010100
32110000001011210000
4320130231220110
53414421113103
6233550331300
732316541500
oct7034555024
92400034700
10947051028
11446649500
122251b9b30
1312128b731
148dac7300
1558222aa3
hex3872da14

947051028 has 540 divisors, whose sum is σ = 3467397780. Its totient is φ = 223534080.

The previous prime is 947051009. The next prime is 947051033. The reversal of 947051028 is 820150749.

It can be written as a sum of positive squares in 2 ways, for example, as 622402704 + 324648324 = 24948^2 + 18018^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 947050983 and 947051001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 32656918 + ... + 32656946.

It is an arithmetic number, because the mean of its divisors is an integer number (6421107).

Almost surely, 2947051028 is an apocalyptic number.

947051028 is a gapful number since it is divisible by the number (98) 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 947051028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733698890).

947051028 is an abundant number, since it is smaller than the sum of its proper divisors (2520346752).

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

947051028 is a wasteful number, since it uses less digits than its factorization.

947051028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 947051028 is about 30774.1941892879. The cubic root of 947051028 is about 982.0293322802.

The spelling of 947051028 in words is "nine hundred forty-seven million, fifty-one thousand, twenty-eight".