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83070976 = 212171193
BaseRepresentation
bin1001111001110…
…01000000000000
312210022102221211
410330321000000
5132231232401
612124255504
72026043302
oct474710000
9183272854
1083070976
11429894aa
12239a1594
1314297131
14b065972
15745d951
hex4f39000

83070976 has 52 divisors (see below), whose sum is σ = 176040972. Its totient is φ = 39059456.

The previous prime is 83070973. The next prime is 83070991. The reversal of 83070976 is 67907038.

It can be written as a sum of positive squares in 2 ways, for example, as 54169600 + 28901376 = 7360^2 + 5376^2 .

It is not an unprimeable number, because it can be changed into a prime (83070973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69036 + ... + 70228.

Almost surely, 283070976 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 83070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88020486).

83070976 is an abundant number, since it is smaller than the sum of its proper divisors (92969996).

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

83070976 is a wasteful number, since it uses less digits than its factorization.

83070976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 83070976 is about 9114.3280608062. The cubic root of 83070976 is about 436.3313700047.

The spelling of 83070976 in words is "eighty-three million, seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1193 2048 2176 2386 4096 4352 4772 8704 9544 17408 19088 20281 34816 38176 40562 69632 76352 81124 152704 162248 305408 324496 610816 648992 1221632 1297984 2443264 2595968 4886528 5191936 10383872 20767744 41535488 83070976