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82240500 = 22353109503
BaseRepresentation
bin1001110011011…
…10001111110100
312201202020202110
410321232033310
5132023144000
612054411020
72016014136
oct471561764
9181666673
1082240500
1142471561
1223660a70
1314066124
14accb056
157347850
hex4e6e3f4

82240500 has 96 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 21686400.

The previous prime is 82240481. The next prime is 82240517. The reversal of 82240500 is 504228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163249 + ... + 163751.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 282240500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82240500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

82240500 is an abundant number, since it is smaller than the sum of its proper divisors (159921420).

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

82240500 is a wasteful number, since it uses less digits than its factorization.

82240500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 82240500 is about 9068.6548065300. The cubic root of 82240500 is about 434.8724688903.

Adding to 82240500 its reverse (504228), we get a palindrome (82744728).

The spelling of 82240500 in words is "eighty-two million, two hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 125 150 218 250 300 327 375 436 500 503 545 654 750 1006 1090 1308 1500 1509 1635 2012 2180 2515 2725 3018 3270 5030 5450 6036 6540 7545 8175 10060 10900 12575 13625 15090 16350 25150 27250 30180 32700 37725 40875 50300 54500 54827 62875 75450 81750 109654 125750 150900 163500 164481 188625 219308 251500 274135 328962 377250 548270 657924 754500 822405 1096540 1370675 1644810 2741350 3289620 4112025 5482700 6853375 8224050 13706750 16448100 20560125 27413500 41120250 82240500