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83233768 = 23176179127
BaseRepresentation
bin1001111011000…
…00101111101000
312210121201021011
410331200233220
5132301440033
612131553304
72030322022
oct475405750
9183551234
1083233768
1142a8a842
1223a5b834
1314323267
14b0a9012
157491ccd
hex4f60be8

83233768 has 64 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 37739520.

The previous prime is 83233763. The next prime is 83233769. The reversal of 83233768 is 86733238.

It is a self number, because there is not a number n which added to its sum of digits gives 83233768.

It is not an unprimeable number, because it can be changed into a prime (83233763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655321 + ... + 655447.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 283233768 is an apocalyptic number.

It is an amenable number.

83233768 is an abundant number, since it is smaller than the sum of its proper divisors (88183832).

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

83233768 is a wasteful number, since it uses less digits than its factorization.

83233768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 83233768 is about 9123.2542439636. The cubic root of 83233768 is about 436.6162063816.

The spelling of 83233768 in words is "eighty-three million, two hundred thirty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 17 34 61 68 79 122 127 136 158 244 254 316 488 508 632 1016 1037 1343 2074 2159 2686 4148 4318 4819 5372 7747 8296 8636 9638 10033 10744 15494 17272 19276 20066 30988 38552 40132 61976 80264 81923 131699 163846 170561 263398 327692 341122 526796 612013 655384 682244 1053592 1224026 1364488 2448052 4896104 10404221 20808442 41616884 83233768