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89676125 = 5372114
BaseRepresentation
bin1010101100001…
…01100101011101
320020202000111222
411112011211131
5140424114000
612522023125
72136143300
oct526054535
9206660458
1089676125
1146690000
1226047aa5
131576a6c6
14bca4b37
157d15a85
hex558595d

89676125 has 60 divisors (see below), whose sum is σ = 143205660. Its totient is φ = 55902000.

The previous prime is 89676089. The next prime is 89676137. The reversal of 89676125 is 52167698.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2869636 + 86806489 = 1694^2 + 9317^2 .

It is not a de Polignac number, because 89676125 - 28 = 89675869 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8152370 + ... + 8152380.

It is an arithmetic number, because the mean of its divisors is an integer number (2386761).

Almost surely, 289676125 is an apocalyptic number.

It is an amenable number.

89676125 is a deficient number, since it is larger than the sum of its proper divisors (53529535).

89676125 is an frugal number, since it uses more digits than its factorization.

89676125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 23 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 89676125 is about 9469.7478847116. The cubic root of 89676125 is about 447.6022674419.

The spelling of 89676125 in words is "eighty-nine million, six hundred seventy-six thousand, one hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 125 175 245 275 385 539 605 847 875 1225 1331 1375 1925 2695 3025 4235 5929 6125 6655 9317 9625 13475 14641 15125 21175 29645 33275 46585 65219 67375 73205 102487 105875 148225 166375 232925 326095 366025 512435 717409 741125 1164625 1630475 1830125 2562175 3587045 8152375 12810875 17935225 89676125