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82852352 = 291147313
BaseRepresentation
bin1001111000000…
…11101000000000
312202220100001122
410330003220000
5132202233402
612115451412
72024143022
oct474035000
9182810048
1082852352
114284a220
12238b6b68
131421b77b
14b00a012
157418ca2
hex4f03a00

82852352 has 80 divisors (see below), whose sum is σ = 185023872. Its totient is φ = 36741120.

The previous prime is 82852337. The next prime is 82852381. The reversal of 82852352 is 25325828.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264548 + ... + 264860.

Almost surely, 282852352 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 82852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92511936).

82852352 is an abundant number, since it is smaller than the sum of its proper divisors (102171520).

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

82852352 is a wasteful number, since it uses less digits than its factorization.

82852352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 373 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 82852352 is about 9102.3267355111. The cubic root of 82852352 is about 435.9482585964.

The spelling of 82852352 in words is "eighty-two million, eight hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 313 352 376 512 517 626 704 752 1034 1252 1408 1504 2068 2504 2816 3008 3443 4136 5008 5632 6016 6886 8272 10016 12032 13772 14711 16544 20032 24064 27544 29422 33088 40064 55088 58844 66176 80128 110176 117688 132352 160256 161821 220352 235376 264704 323642 440704 470752 647284 881408 941504 1294568 1762816 1883008 2589136 3766016 5178272 7532032 10356544 20713088 41426176 82852352