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82023948 = 22332926189
BaseRepresentation
bin1001110001110…
…01011000001100
312201100020201000
410320321120030
5131444231243
612050020300
72014122606
oct470713014
9181306630
1082023948
1142333896
1223577690
1313cbb6a6
14ac72176
1573035d3
hex4e3960c

82023948 has 48 divisors (see below), whose sum is σ = 219996000. Its totient is φ = 26397504.

The previous prime is 82023943. The next prime is 82023959. The reversal of 82023948 is 84932028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82023941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9963 + ... + 16226.

It is an arithmetic number, because the mean of its divisors is an integer number (4583250).

Almost surely, 282023948 is an apocalyptic number.

It is an amenable number.

82023948 is an abundant number, since it is smaller than the sum of its proper divisors (137972052).

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

82023948 is a wasteful number, since it uses less digits than its factorization.

82023948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26231 (or 26223 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 82023948 is about 9056.7073487002. The cubic root of 82023948 is about 434.4904378109.

The spelling of 82023948 in words is "eighty-two million, twenty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 26189 52378 78567 104756 157134 235701 314268 471402 707103 759481 942804 1414206 1518962 2278443 2828412 3037924 4556886 6835329 9113772 13670658 20505987 27341316 41011974 82023948