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82063044 = 2235721723
BaseRepresentation
bin1001110010000…
…10111011000100
312201102020100000
410321002323010
5132002004134
612050521300
72014344600
oct471027304
9181366300
1082063044
11423601a8
1223596230
131400341b
14ac82500
15730ee99
hex4e42ec4

82063044 has 108 divisors (see below), whose sum is σ = 250386864. Its totient is φ = 23432976.

The previous prime is 82063043. The next prime is 82063123. The reversal of 82063044 is 44036028.

82063044 is a `hidden beast` number, since 8 + 20 + 630 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82062999 and 82063017.

It is not an unprimeable number, because it can be changed into a prime (82063043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46767 + ... + 48489.

Almost surely, 282063044 is an apocalyptic number.

82063044 is a gapful number since it is divisible by the number (84) 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 82063044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193432).

82063044 is an abundant number, since it is smaller than the sum of its proper divisors (168323820).

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

82063044 is a wasteful number, since it uses less digits than its factorization.

82063044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82063044 is about 9058.8654918814. The cubic root of 82063044 is about 434.5594588729.

The spelling of 82063044 in words is "eighty-two million, sixty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1723 1764 2268 2646 3402 3446 3969 5169 5292 6804 6892 7938 10338 11907 12061 15507 15876 20676 23814 24122 31014 36183 46521 47628 48244 62028 72366 84427 93042 108549 139563 144732 168854 186084 217098 253281 279126 325647 337708 418689 434196 506562 558252 651294 759843 837378 976941 1013124 1302588 1519686 1674756 1953882 2279529 2930823 3039372 3907764 4559058 5861646 6838587 9118116 11723292 13677174 20515761 27354348 41031522 82063044