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83505396 = 223131035197
BaseRepresentation
bin1001111101000…
…11000011110100
312211010111212110
410332203003310
5132334133041
612141451020
72032532652
oct476430364
9184114773
1083505396
1143155927
1223b70a70
13143b9aa0
14b139dd2
1574e7516
hex4fa30f4

83505396 has 48 divisors (see below), whose sum is σ = 211912064. Its totient is φ = 25439616.

The previous prime is 83505371. The next prime is 83505431. The reversal of 83505396 is 69350538.

It is a super-2 number, since 2×835053962 = 13946302322233632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13470 + ... + 18666.

Almost surely, 283505396 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 83505396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105956032).

83505396 is an abundant number, since it is smaller than the sum of its proper divisors (128406668).

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

83505396 is a wasteful number, since it uses less digits than its factorization.

83505396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 83505396 is about 9138.1286924621. The cubic root of 83505396 is about 437.0906468711.

The spelling of 83505396 in words is "eighty-three million, five hundred five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 206 309 412 618 1236 1339 2678 4017 5197 5356 8034 10394 15591 16068 20788 31182 62364 67561 135122 202683 270244 405366 535291 810732 1070582 1605873 2141164 3211746 6423492 6958783 13917566 20876349 27835132 41752698 83505396