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83563116 = 223713591297
BaseRepresentation
bin1001111101100…
…01001001101100
312211020110001020
410332301021230
5132343004431
612143014140
72033163150
oct476611154
9184213036
1083563116
114319522a
1223b9a350
131440a140
14b153060
157509696
hex4fb126c

83563116 has 96 divisors (see below), whose sum is σ = 244231680. Its totient is φ = 21648384.

The previous prime is 83563099. The next prime is 83563141. The reversal of 83563116 is 61136538.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63780 + ... + 65076.

It is an arithmetic number, because the mean of its divisors is an integer number (2544080).

Almost surely, 283563116 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 83563116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122115840).

83563116 is an abundant number, since it is smaller than the sum of its proper divisors (160668564).

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

83563116 is a wasteful number, since it uses less digits than its factorization.

83563116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1381 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 83563116 is about 9141.2863427419. The cubic root of 83563116 is about 437.1913312289.

The spelling of 83563116 in words is "eighty-three million, five hundred sixty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 59 78 84 91 118 156 177 182 236 273 354 364 413 546 708 767 826 1092 1239 1297 1534 1652 2301 2478 2594 3068 3891 4602 4956 5188 5369 7782 9079 9204 10738 15564 16107 16861 18158 21476 27237 32214 33722 36316 50583 54474 64428 67444 76523 101166 108948 118027 153046 202332 229569 236054 306092 354081 459138 472108 535661 708162 918276 994799 1071322 1416324 1606983 1989598 2142644 2984397 3213966 3979196 5968794 6427932 6963593 11937588 13927186 20890779 27854372 41781558 83563116