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87245235 = 33572112109
BaseRepresentation
bin1010011001101…
…00000110110011
320002011111222000
411030310012303
5134313321420
612353545043
72106400200
oct514640663
9202144860
1087245235
114527a700
1225275183
13150c90cc
14b830ca7
1579d5690
hex53341b3

87245235 has 144 divisors (see below), whose sum is σ = 200138400. Its totient is φ = 35925120.

The previous prime is 87245209. The next prime is 87245239. The reversal of 87245235 is 53254278.

It is not a de Polignac number, because 87245235 - 29 = 87244723 is a prime.

It is a super-2 number, since 2×872452352 = 15223462060410450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87245235.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87245239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 800361 + ... + 800469.

It is an arithmetic number, because the mean of its divisors is an integer number (1389850).

Almost surely, 287245235 is an apocalyptic number.

87245235 is an abundant number, since it is smaller than the sum of its proper divisors (112893165).

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

87245235 is a wasteful number, since it uses less digits than its factorization.

87245235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 87245235 is about 9340.5157780499. The cubic root of 87245235 is about 443.5207118044.

The spelling of 87245235 in words is "eighty-seven million, two hundred forty-five thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 109 121 135 147 165 189 231 245 297 315 327 363 385 441 495 539 545 605 693 735 763 847 945 981 1089 1155 1199 1323 1485 1617 1635 1815 2079 2205 2289 2541 2695 2943 3267 3465 3597 3815 4235 4851 4905 5341 5445 5929 5995 6615 6867 7623 8085 8393 10395 10791 11445 12705 13189 14553 14715 16023 16335 17787 17985 20601 22869 24255 25179 26705 29645 32373 34335 38115 39567 41965 48069 53361 53955 58751 65945 72765 75537 80115 88935 92323 103005 114345 118701 125895 144207 160083 161865 176253 197835 226611 240345 266805 276969 293755 356103 377685 461615 528759 593505 646261 721035 800415 830907 881265 1133055 1384845 1586277 1780515 1938783 2492721 2643795 3231305 4154535 5816349 7931385 9693915 12463605 17449047 29081745 87245235