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82548240 = 2435343951
BaseRepresentation
bin1001110101110…
…01011000010000
312202022212220020
410322321120100
5132113020430
612105143440
72021435265
oct472713020
9182285806
1082548240
1142661795
122378ab80
1314143218
14ad6b26c
1573a8b10
hex4eb9610

82548240 has 40 divisors (see below), whose sum is σ = 255900288. Its totient is φ = 22012800.

The previous prime is 82548199. The next prime is 82548241. The reversal of 82548240 is 4284528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82548241) 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, 171736 + ... + 172215.

Almost surely, 282548240 is an apocalyptic number.

82548240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82548240 is an abundant number, since it is smaller than the sum of its proper divisors (173352048).

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

82548240 is a wasteful number, since it uses less digits than its factorization.

82548240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343967 (or 343961 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 82548240 is about 9085.6061988180. The cubic root of 82548240 is about 435.4142176807.

The spelling of 82548240 in words is "eighty-two million, five hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 343951 687902 1031853 1375804 1719755 2063706 2751608 3439510 4127412 5159265 5503216 6879020 8254824 10318530 13758040 16509648 20637060 27516080 41274120 82548240