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83314413 = 3471389127
BaseRepresentation
bin1001111011101…
…00011011101101
312210202210220000
410331310123231
5132312030123
612133414513
72031106110
oct475643355
9183683800
1083314413
1143035396
1223a9a439
1314350b90
14b0ca577
1574aab43
hex4f746ed

83314413 has 80 divisors (see below), whose sum is σ = 156119040. Its totient is φ = 43110144.

The previous prime is 83314403. The next prime is 83314457. The reversal of 83314413 is 31441338.

It is not a de Polignac number, because 83314413 - 25 = 83314381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83314403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 655956 + ... + 656082.

It is an arithmetic number, because the mean of its divisors is an integer number (1951488).

Almost surely, 283314413 is an apocalyptic number.

It is an amenable number.

83314413 is a deficient number, since it is larger than the sum of its proper divisors (72804627).

83314413 is a wasteful number, since it uses less digits than its factorization.

83314413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 83314413 is about 9127.6729235879. The cubic root of 83314413 is about 436.7571729989.

The spelling of 83314413 in words is "eighty-three million, three hundred fourteen thousand, four hundred thirteen".

Divisors: 1 3 7 9 13 21 27 39 63 81 89 91 117 127 189 267 273 351 381 567 623 801 819 889 1053 1143 1157 1651 1869 2403 2457 2667 3429 3471 4953 5607 7209 7371 8001 8099 10287 10413 11303 11557 14859 16821 24003 24297 31239 33909 34671 44577 50463 72009 72891 79121 93717 101727 104013 133731 146939 218673 237363 305181 312039 440817 656019 712089 915543 936117 1028573 1322451 2136267 3085719 3967353 6408801 9257157 11902059 27771471 83314413