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82895640 = 23353312087
BaseRepresentation
bin1001111000011…
…10001100011000
312202222112102220
410330032030120
5132210130030
612120424040
72024413152
oct474161430
9182875386
1082895640
11428797a3
1223918020
1314235399
14b01bad2
157426a10
hex4f0e318

82895640 has 64 divisors (see below), whose sum is σ = 249557760. Its totient is φ = 22028160.

The previous prime is 82895629. The next prime is 82895641. The reversal of 82895640 is 4659828.

It is a junction number, because it is equal to n+sod(n) for n = 82895592 and 82895601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82895641) 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, 38677 + ... + 40763.

It is an arithmetic number, because the mean of its divisors is an integer number (3899340).

Almost surely, 282895640 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 82895640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124778880).

82895640 is an abundant number, since it is smaller than the sum of its proper divisors (166662120).

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

82895640 is a wasteful number, since it uses less digits than its factorization.

82895640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 82895640 is about 9104.7042785584. The cubic root of 82895640 is about 436.0241689040.

The spelling of 82895640 in words is "eighty-two million, eight hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2087 2648 3310 3972 4174 4965 6261 6620 7944 8348 9930 10435 12522 13240 16696 19860 20870 25044 31305 39720 41740 50088 62610 83480 125220 250440 690797 1381594 2072391 2763188 3453985 4144782 5526376 6907970 8289564 10361955 13815940 16579128 20723910 27631880 41447820 82895640