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83379429 = 33721931107
BaseRepresentation
bin1001111100001…
…00010011100101
312210220010002000
410332010103211
5132321120204
612135035513
72031466500
oct476042345
9183803060
1083379429
114307a221
1223b0bb99
1314374653
14b106137
1574c0039
hex4f844e5

83379429 has 96 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 43273440.

The previous prime is 83379421. The next prime is 83379431. The reversal of 83379429 is 92497338.

It is a happy number.

It is not a de Polignac number, because 83379429 - 23 = 83379421 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83379421) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 779194 + ... + 779300.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 283379429 is an apocalyptic number.

It is an amenable number.

83379429 is a deficient number, since it is larger than the sum of its proper divisors (74214171).

83379429 is a wasteful number, since it uses less digits than its factorization.

83379429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 83379429 is about 9131.2337063510. The cubic root of 83379429 is about 436.8707540710.

It can be divided in two parts, 8337 and 9429, that added together give a triangular number (17766 = T188).

The spelling of 83379429 in words is "eighty-three million, three hundred seventy-nine thousand, four hundred twenty-nine".

Divisors: 1 3 7 9 19 21 27 31 49 57 63 93 107 133 147 171 189 217 279 321 399 441 513 589 651 749 837 931 963 1197 1323 1519 1767 1953 2033 2247 2793 2889 3317 3591 4123 4557 5243 5301 5859 6099 6741 8379 9951 12369 13671 14231 15729 15903 18297 20223 23219 25137 28861 29853 37107 41013 42693 47187 54891 63023 69657 86583 89559 99617 111321 128079 141561 162533 189069 208971 259749 298851 384237 441161 487599 567207 626913 779247 896553 1323483 1462797 1701621 2689659 3088127 3970449 4388391 9264381 11911347 27793143 83379429