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83497728 = 2832329163
BaseRepresentation
bin1001111101000…
…01001100000000
312211010010100110
410332201030000
5132333411403
612141351320
72032501416
oct476411400
9184103313
1083497728
1143150096
1223b68540
13143b6452
14b1372b6
1574e5103
hex4fa1300

83497728 has 144 divisors (see below), whose sum is σ = 241355520. Its totient is φ = 25546752.

The previous prime is 83497721. The next prime is 83497741. The reversal of 83497728 is 82779438.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (83497721) 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, 512175 + ... + 512337.

It is an arithmetic number, because the mean of its divisors is an integer number (1676080).

Almost surely, 283497728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83497728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120677760).

83497728 is an abundant number, since it is smaller than the sum of its proper divisors (157857792).

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

83497728 is a wasteful number, since it uses less digits than its factorization.

83497728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 83497728 is about 9137.7091220940. The cubic root of 83497728 is about 437.0772676412.

The spelling of 83497728 in words is "eighty-three million, four hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 163 174 184 192 232 256 276 326 348 368 384 464 489 552 652 667 696 736 768 928 978 1104 1304 1334 1392 1472 1856 1956 2001 2208 2608 2668 2784 2944 3712 3749 3912 4002 4416 4727 5216 5336 5568 5888 7424 7498 7824 8004 8832 9454 10432 10672 11136 11247 14181 14996 15648 16008 17664 18908 20864 21344 22272 22494 28362 29992 31296 32016 37816 41728 42688 44988 56724 59984 62592 64032 75632 85376 89976 108721 113448 119968 125184 128064 151264 170752 179952 217442 226896 239936 256128 302528 326163 359904 434884 453792 479872 512256 605056 652326 719808 869768 907584 959744 1210112 1304652 1439616 1739536 1815168 2609304 2879232 3479072 3630336 5218608 6958144 10437216 13916288 20874432 27832576 41748864 83497728