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78411025 = 5272112232
BaseRepresentation
bin1001010110001…
…11010100010001
312110112200201001
410223013110101
5130033123100
611440342001
71641324400
oct453072421
9173480631
1078411025
1140296400
1222314901
1313325074
14a5b1637
156d3cd6a
hex4ac7511

78411025 has 81 divisors (see below), whose sum is σ = 129961083. Its totient is φ = 46754400.

The previous prime is 78411023. The next prime is 78411049. The reversal of 78411025 is 52011487.

The square root of 78411025 is 8855.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28227969 + 50183056 = 5313^2 + 7084^2 .

It is not a de Polignac number, because 78411025 - 21 = 78411023 is a prime.

It is a super-2 number, since 2×784110252 = 12296577683101250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78410984 and 78411002.

It is not an unprimeable number, because it can be changed into a prime (78411023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3409164 + ... + 3409186.

Almost surely, 278411025 is an apocalyptic number.

78411025 is the 8855-th square number.

78411025 is the 4428-th centered octagonal number.

It is an amenable number.

78411025 is a deficient number, since it is larger than the sum of its proper divisors (51550058).

78411025 is a wasteful number, since it uses less digits than its factorization.

78411025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The cubic root of 78411025 is about 428.0150535509.

It can be divided in two parts, 784 and 11025, that multiplied together give a square (8643600 = 29402).

The spelling of 78411025 in words is "seventy-eight million, four hundred eleven thousand, twenty-five".

Divisors: 1 5 7 11 23 25 35 49 55 77 115 121 161 175 245 253 275 385 529 539 575 605 805 847 1127 1225 1265 1771 1925 2645 2695 2783 3025 3703 4025 4235 5635 5819 5929 6325 8855 12397 13225 13475 13915 18515 19481 21175 25921 28175 29095 29645 40733 44275 61985 64009 69575 92575 97405 129605 136367 145475 148225 203665 285131 309925 320045 448063 487025 648025 681835 1018325 1425655 1600225 2240315 3136441 3409175 7128275 11201575 15682205 78411025