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83525420 = 225111723971
BaseRepresentation
bin1001111101001…
…11111100101100
312211011112100002
410332213330230
5132340303140
612142123432
72032645226
oct476477454
9184145302
1083525420
1143169980
1223b80578
13143c5c34
14b143416
1574ed415
hex4fa7f2c

83525420 has 96 divisors (see below), whose sum is σ = 211631616. Its totient is φ = 27315200.

The previous prime is 83525417. The next prime is 83525441. The reversal of 83525420 is 2452538.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85535 + ... + 86505.

It is an arithmetic number, because the mean of its divisors is an integer number (2204496).

Almost surely, 283525420 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 83525420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105815808).

83525420 is an abundant number, since it is smaller than the sum of its proper divisors (128106196).

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

83525420 is a wasteful number, since it uses less digits than its factorization.

83525420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 83525420 is about 9139.2242559202. The cubic root of 83525420 is about 437.1255811549.

Adding to 83525420 its reverse (2452538), we get a palindrome (85977958).

The spelling of 83525420 in words is "eighty-three million, five hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 340 374 391 460 506 748 782 935 971 1012 1265 1564 1870 1942 1955 2530 3740 3884 3910 4301 4855 5060 7820 8602 9710 10681 16507 17204 19420 21362 21505 22333 33014 42724 43010 44666 53405 66028 82535 86020 89332 106810 111665 165070 181577 213620 223330 245663 330140 363154 379661 446660 491326 726308 759322 907885 982652 1228315 1518644 1815770 1898305 2456630 3631540 3796610 4176271 4913260 7593220 8352542 16705084 20881355 41762710 83525420