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80625930 = 235711219167
BaseRepresentation
bin1001100111001…
…00000100001010
312121201012222120
410303210010022
5131120012210
612000032110
71666211010
oct463440412
9177635876
1080625930
1141569500
1223002636
131391c268
14a9ca8b0
157129270
hex4ce410a

80625930 has 192 divisors, whose sum is σ = 257402880. Its totient is φ = 15776640.

The previous prime is 80625929. The next prime is 80625931. The reversal of 80625930 is 3952608.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80625929) and next prime (80625931).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 80625891 and 80625900.

It is not an unprimeable number, because it can be changed into a prime (80625931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482707 + ... + 482873.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 280625930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80625930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

80625930 is an abundant number, since it is smaller than the sum of its proper divisors (176776950).

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

80625930 is a wasteful number, since it uses less digits than its factorization.

80625930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 80625930 is about 8979.1942845670. The cubic root of 80625930 is about 432.0077909260.

The spelling of 80625930 in words is "eighty million, six hundred twenty-five thousand, nine hundred thirty".