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82460988 = 223219120557
BaseRepresentation
bin1001110101001…
…00000100111100
312202011110012200
410322210010330
5132102222423
612103231500
72020623021
oct472440474
9182143180
1082460988
1142602185
1223748590
13141125ac
14ad47548
15738cd43
hex4ea413c

82460988 has 36 divisors (see below), whose sum is σ = 219415560. Its totient is φ = 26040096.

The previous prime is 82460981. The next prime is 82460993. The reversal of 82460988 is 88906428.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×824609882 = 13599629083872288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82460981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59595 + ... + 60962.

Almost surely, 282460988 is an apocalyptic number.

It is an amenable number.

82460988 is an abundant number, since it is smaller than the sum of its proper divisors (136954572).

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

82460988 is a wasteful number, since it uses less digits than its factorization.

82460988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120586 (or 120581 counting only the distinct ones).

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

The square root of 82460988 is about 9080.8032684339. The cubic root of 82460988 is about 435.2607552755.

The spelling of 82460988 in words is "eighty-two million, four hundred sixty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 120557 241114 361671 482228 723342 1085013 1446684 2170026 2290583 4340052 4581166 6871749 9162332 13743498 20615247 27486996 41230494 82460988