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82519470 = 2325111941107
BaseRepresentation
bin1001110101100…
…10010110101110
312202021102102200
410322302112232
5132111110340
612104402330
72021255355
oct472622656
9182242380
1082519470
1142642110
12237763a6
13141330b7
14ad6099c
1573a0330
hex4eb25ae

82519470 has 192 divisors, whose sum is σ = 254741760. Its totient is φ = 18316800.

The previous prime is 82519457. The next prime is 82519477. The reversal of 82519470 is 7491528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82519477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771157 + ... + 771263.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 282519470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82519470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

82519470 is an abundant number, since it is smaller than the sum of its proper divisors (172222290).

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

82519470 is a wasteful number, since it uses less digits than its factorization.

82519470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 82519470 is about 9084.0227872898. The cubic root of 82519470 is about 435.3636277766.

The spelling of 82519470 in words is "eighty-two million, five hundred nineteen thousand, four hundred seventy".