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82976148 = 22322304893
BaseRepresentation
bin1001111001000…
…01110110010100
312210010121212200
410330201312110
5132220214043
612122244500
72025166653
oct474416624
9183117780
1082976148
1142924232
1223956730
1314262c18
14b03d19a
1574407d3
hex4f21d94

82976148 has 18 divisors (see below), whose sum is σ = 209745354. Its totient is φ = 27658704.

The previous prime is 82976143. The next prime is 82976171. The reversal of 82976148 is 84167928.

82976148 is a `hidden beast` number, since 8 + 29 + 7 + 614 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78641424 + 4334724 = 8868^2 + 2082^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×829761482 = 13770082273835808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82976143) 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 5 ways as a sum of consecutive naturals, for example, 1152411 + ... + 1152482.

Almost surely, 282976148 is an apocalyptic number.

It is an amenable number.

82976148 is an abundant number, since it is smaller than the sum of its proper divisors (126769206).

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

82976148 is a wasteful number, since it uses less digits than its factorization.

82976148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304903 (or 2304898 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 82976148 is about 9109.1244365197. The cubic root of 82976148 is about 436.1652783592.

The spelling of 82976148 in words is "eighty-two million, nine hundred seventy-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2304893 4609786 6914679 9219572 13829358 20744037 27658716 41488074 82976148