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83402067 = 3726171131
BaseRepresentation
bin1001111100010…
…01110101010011
312210221021010110
410332021311103
5132322331232
612135332403
72031622500
oct476116523
9183837113
1083402067
1143095231
1223b21103
1314381a48
14b1104a7
1574c6acc
hex4f89d53

83402067 has 48 divisors (see below), whose sum is σ = 134348544. Its totient is φ = 45864000.

The previous prime is 83402021. The next prime is 83402101. The reversal of 83402067 is 76020438.

It is not a de Polignac number, because 83402067 - 26 = 83402003 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (83402567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636592 + ... + 636722.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 283402067 is an apocalyptic number.

83402067 is a deficient number, since it is larger than the sum of its proper divisors (50946477).

83402067 is a wasteful number, since it uses less digits than its factorization.

83402067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 83402067 is about 9132.4732137576. The cubic root of 83402067 is about 436.9102881436.

The spelling of 83402067 in words is "eighty-three million, four hundred two thousand, sixty-seven".

Divisors: 1 3 7 21 49 61 71 131 147 183 213 393 427 497 917 1281 1491 2751 2989 3479 4331 6419 7991 8967 9301 10437 12993 19257 23973 27903 30317 55937 65107 90951 167811 195321 212219 391559 455749 567361 636657 1174677 1367247 1702083 3971527 11914581 27800689 83402067