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83009388 = 22371128167
BaseRepresentation
bin1001111001010…
…01111101101100
312210012022110210
410330221331230
5132222300023
612123102420
72025365610
oct474517554
9183168423
1083009388
1142947200
1223971a10
13142750a7
14b04b340
15744a593
hex4f29f6c

83009388 has 72 divisors (see below), whose sum is σ = 243341056. Its totient is φ = 21558240.

The previous prime is 83009387. The next prime is 83009411. The reversal of 83009388 is 88390038.

It is a happy number.

It is a super-2 number, since 2×830093882 = 13781116992269088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83009383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6081 + ... + 14247.

Almost surely, 283009388 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 83009388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121670528).

83009388 is an abundant number, since it is smaller than the sum of its proper divisors (160331668).

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

83009388 is a wasteful number, since it uses less digits than its factorization.

83009388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8203 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 83009388 is about 9110.9487980122. The cubic root of 83009388 is about 436.2235127582.

The spelling of 83009388 in words is "eighty-three million, nine thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 8167 10164 16334 24501 32668 49002 57169 89837 98004 114338 171507 179674 228676 269511 343014 359348 539022 628859 686028 988207 1078044 1257718 1886577 1976414 2515436 2964621 3773154 3952828 5929242 6917449 7546308 11858484 13834898 20752347 27669796 41504694 83009388