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83795472 = 2434194183
BaseRepresentation
bin1001111111010…
…01111000010000
312211200020210000
410333221320100
5132422423342
612152010000
72035151445
oct477517020
9184606700
1083795472
1143333862
1224090900
131448bb27
14b1b39cc
15755344c
hex4fe9e10

83795472 has 200 divisors, whose sum is σ = 264670560. Its totient is φ = 25505280.

The previous prime is 83795443. The next prime is 83795473. The reversal of 83795472 is 27459738.

It is a super-2 number, since 2×837954722 = 14043362255405568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83795473) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1009543 + ... + 1009625.

Almost surely, 283795472 is an apocalyptic number.

83795472 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83795472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132335280).

83795472 is an abundant number, since it is smaller than the sum of its proper divisors (180875088).

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

83795472 is a wasteful number, since it uses less digits than its factorization.

83795472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 83795472 is about 9153.9866724832. The cubic root of 83795472 is about 437.5961749925.

The spelling of 83795472 in words is "eighty-three million, seven hundred ninety-five thousand, four hundred seventy-two".