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82690848 = 253395707
BaseRepresentation
bin1001110110111…
…00001100100000
312202121010112000
410323130030200
5132132101343
612112204000
72022601122
oct473341440
9182533460
1082690848
1142749949
1223839600
13141930c6
14ada7212
1573d5ed3
hex4edc320

82690848 has 48 divisors (see below), whose sum is σ = 241184160. Its totient is φ = 27563328.

The previous prime is 82690847. The next prime is 82690859. The reversal of 82690848 is 84809628.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (82690847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46990 + ... + 48717.

It is an arithmetic number, because the mean of its divisors is an integer number (5024670).

Almost surely, 282690848 is an apocalyptic number.

It is an amenable number.

82690848 is an abundant number, since it is smaller than the sum of its proper divisors (158493312).

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

82690848 is a wasteful number, since it uses less digits than its factorization.

82690848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95726 (or 95712 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 82690848 is about 9093.4508301304. The cubic root of 82690848 is about 435.6648098516.

It can be divided in two parts, 82690 and 848, that added together give a palindrome (83538).

The spelling of 82690848 in words is "eighty-two million, six hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 95707 191414 287121 382828 574242 765656 861363 1148484 1531312 1722726 2296968 2584089 3062624 3445452 4593936 5168178 6890904 9187872 10336356 13781808 20672712 27563616 41345424 82690848