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82988388 = 2235712197
BaseRepresentation
bin1001111001001…
…00110101100100
312210011020200000
410330210311210
5132221112023
612122421300
72025250440
oct474446544
9183136600
1082988388
114293244a
1223961830
1314268672
14b043820
157444243
hex4f24d64

82988388 has 72 divisors (see below), whose sum is σ = 248644032. Its totient is φ = 23709024.

The previous prime is 82988377. The next prime is 82988413. The reversal of 82988388 is 88388928.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706 + ... + 12902.

Almost surely, 282988388 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 82988388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124322016).

82988388 is an abundant number, since it is smaller than the sum of its proper divisors (165655644).

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

82988388 is a wasteful number, since it uses less digits than its factorization.

82988388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12223 (or 12209 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 82988388 is about 9109.7962655594. The cubic root of 82988388 is about 436.1867238816.

The spelling of 82988388 in words is "eighty-two million, nine hundred eighty-eight thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 12197 24394 36591 48788 73182 85379 109773 146364 170758 219546 256137 329319 341516 439092 512274 658638 768411 987957 1024548 1317276 1536822 1975914 2305233 2963871 3073644 3951828 4610466 5927742 6915699 9220932 11855484 13831398 20747097 27662796 41494194 82988388