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82755320 = 23517131929
BaseRepresentation
bin1001110111010…
…11111011111000
312202201101221212
410323223323320
5132141132240
612113422252
72023260104
oct473537370
9182641855
1082755320
114279332a
122386a988
13141b655b
14adc2904
1573ea165
hex4eebef8

82755320 has 64 divisors (see below), whose sum is σ = 198871200. Its totient is φ = 30883840.

The previous prime is 82755289. The next prime is 82755331. The reversal of 82755320 is 2355728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88616 + ... + 89544.

Almost surely, 282755320 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 82755320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99435600).

82755320 is an abundant number, since it is smaller than the sum of its proper divisors (116115880).

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

82755320 is a wasteful number, since it uses less digits than its factorization.

82755320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 82755320 is about 9096.9951082761. The cubic root of 82755320 is about 435.7780061145.

The spelling of 82755320 in words is "eighty-two million, seven hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 131 136 170 262 340 524 655 680 929 1048 1310 1858 2227 2620 3716 4454 4645 5240 7432 8908 9290 11135 15793 17816 18580 22270 31586 37160 44540 63172 78965 89080 121699 126344 157930 243398 315860 486796 608495 631720 973592 1216990 2068883 2433980 4137766 4867960 8275532 10344415 16551064 20688830 41377660 82755320