Search a number
-
+
83414104 = 23171921699
BaseRepresentation
bin1001111100011…
…00110001011000
312210221212122021
410332030301120
5132323222404
612135504224
72032002544
oct476146130
9183855567
1083414104
11430a3284
1223b28074
1314387377
14b114a24
1574ca454
hex4f8cc58

83414104 has 48 divisors (see below), whose sum is σ = 174879000. Its totient is φ = 37165824.

The previous prime is 83414099. The next prime is 83414113. The reversal of 83414104 is 40141438.

It is a super-2 number, since 2×834141042 = 13915825492245632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48247 + ... + 49945.

Almost surely, 283414104 is an apocalyptic number.

It is an amenable number.

83414104 is an abundant number, since it is smaller than the sum of its proper divisors (91464896).

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

83414104 is a wasteful number, since it uses less digits than its factorization.

83414104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 83414104 is about 9133.1322118975. The cubic root of 83414104 is about 436.9313061525.

The spelling of 83414104 in words is "eighty-three million, four hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 8 17 19 34 38 68 76 136 152 323 361 646 722 1292 1444 1699 2584 2888 3398 6137 6796 12274 13592 24548 28883 32281 49096 57766 64562 115532 129124 231064 258248 548777 613339 1097554 1226678 2195108 2453356 4390216 4906712 10426763 20853526 41707052 83414104