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83168352 = 25321716987
BaseRepresentation
bin1001111010100…
…00110001100000
312210111101112100
410331100301200
5132242341402
612130330400
72026630221
oct475206140
9183441470
1083168352
1142a45683
1223a29a00
13142cc557
14b08d248
15747c71c
hex4f50c60

83168352 has 72 divisors (see below), whose sum is σ = 250437096. Its totient is φ = 26090496.

The previous prime is 83168329. The next prime is 83168357. The reversal of 83168352 is 25386138.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83168357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3598 + ... + 13389.

It is an arithmetic number, because the mean of its divisors is an integer number (3478293).

Almost surely, 283168352 is an apocalyptic number.

It is an amenable number.

83168352 is an abundant number, since it is smaller than the sum of its proper divisors (167268744).

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

83168352 is a wasteful number, since it uses less digits than its factorization.

83168352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17020 (or 17009 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 83168352 is about 9119.6684150247. The cubic root of 83168352 is about 436.5017929962.

The spelling of 83168352 in words is "eighty-three million, one hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 16987 33974 50961 67948 101922 135896 152883 203844 271792 288779 305766 407688 543584 577558 611532 815376 866337 1155116 1223064 1630752 1732674 2310232 2446128 2599011 3465348 4620464 4892256 5198022 6930696 9240928 10396044 13861392 20792088 27722784 41584176 83168352