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82977642 = 23311294817
BaseRepresentation
bin1001111001000…
…10001101101010
312210010200221000
410330202031222
5132220241032
612122255430
72025204216
oct474421552
9183120830
1082977642
1142925370
1223957576
13142637c7
14b03d946
157440e7c
hex4f2236a

82977642 has 64 divisors (see below), whose sum is σ = 208137600. Its totient is φ = 24272640.

The previous prime is 82977641. The next prime is 82977647. The reversal of 82977642 is 24677928.

It is not an unprimeable number, because it can be changed into a prime (82977641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14818 + ... + 19634.

It is an arithmetic number, because the mean of its divisors is an integer number (3252150).

Almost surely, 282977642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82977642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104068800).

82977642 is an abundant number, since it is smaller than the sum of its proper divisors (125159958).

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

82977642 is a wasteful number, since it uses less digits than its factorization.

82977642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4862 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 82977642 is about 9109.2064418367. The cubic root of 82977642 is about 436.1678960875.

The spelling of 82977642 in words is "eighty-two million, nine hundred seventy-seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 261 297 319 522 594 638 783 957 1566 1914 2871 4817 5742 8613 9634 14451 17226 28902 43353 52987 86706 105974 130059 139693 158961 260118 279386 317922 419079 476883 838158 953766 1257237 1430649 1536623 2514474 2861298 3073246 3771711 4609869 7543422 9219738 13829607 27659214 41488821 82977642