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83168925 = 352735361
BaseRepresentation
bin1001111010100…
…00111010011101
312210111102022120
410331100322131
5132242401200
612130333153
72026632000
oct475207235
9183442276
1083168925
1142a46054
1223a2a1b9
13142cc8a8
14b08d537
15747c9a0
hex4f50e9d

83168925 has 96 divisors (see below), whose sum is σ = 166060800. Its totient is φ = 36691200.

The previous prime is 83168881. The next prime is 83168959. The reversal of 83168925 is 52986138.

It is not a de Polignac number, because 83168925 - 28 = 83168669 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1363395 + ... + 1363455.

It is an arithmetic number, because the mean of its divisors is an integer number (1729800).

Almost surely, 283168925 is an apocalyptic number.

It is an amenable number.

83168925 is a deficient number, since it is larger than the sum of its proper divisors (82891875).

83168925 is a wasteful number, since it uses less digits than its factorization.

83168925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 83168925 is about 9119.6998305865. The cubic root of 83168925 is about 436.5027954406.

The spelling of 83168925 in words is "eighty-three million, one hundred sixty-eight thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 53 61 75 105 147 159 175 183 245 265 305 343 371 427 525 735 795 915 1029 1113 1225 1281 1325 1525 1715 1855 2135 2597 2989 3233 3675 3975 4575 5145 5565 6405 7791 8575 8967 9275 9699 10675 12985 14945 16165 18179 20923 22631 25725 27825 32025 38955 44835 48495 54537 62769 64925 67893 74725 80825 90895 104615 113155 158417 194775 224175 242475 272685 313845 339465 454475 475251 523075 565775 792085 1108919 1363425 1569225 1697325 2376255 3326757 3960425 5544595 11881275 16633785 27722975 83168925