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82500440 = 23511971933
BaseRepresentation
bin1001110101011…
…01101101011000
312202020110022212
410322231231120
5132110003230
612104134252
72021146031
oct472555530
9182213285
1082500440
1142629890
1223767388
1314127539
14ad57a88
157399895
hex4eadb58

82500440 has 64 divisors (see below), whose sum is σ = 204694560. Its totient is φ = 29675520.

The previous prime is 82500427. The next prime is 82500449. The reversal of 82500440 is 4400528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82500449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41714 + ... + 43646.

Almost surely, 282500440 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 82500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102347280).

82500440 is an abundant number, since it is smaller than the sum of its proper divisors (122194120).

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

82500440 is a wasteful number, since it uses less digits than its factorization.

82500440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 82500440 is about 9082.9752834630. The cubic root of 82500440 is about 435.3301584762.

Adding to 82500440 its reverse (4400528), we get a palindrome (86900968).

The spelling of 82500440 in words is "eighty-two million, five hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 194 220 388 440 485 776 970 1067 1933 1940 2134 3866 3880 4268 5335 7732 8536 9665 10670 15464 19330 21263 21340 38660 42526 42680 77320 85052 106315 170104 187501 212630 375002 425260 750004 850520 937505 1500008 1875010 2062511 3750020 4125022 7500040 8250044 10312555 16500088 20625110 41250220 82500440