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87053208 = 23311231967
BaseRepresentation
bin1010011000001…
…01001110011000
320001210202112220
411030011032120
5134241200313
612345504040
72104640304
oct514051630
9201722486
1087053208
1145159400
12251a2020
131505c898
14b7c0d04
157998823
hex5305398

87053208 has 96 divisors (see below), whose sum is σ = 247188480. Its totient is φ = 25502400.

The previous prime is 87053207. The next prime is 87053221. The reversal of 87053208 is 80235078.

It is a super-2 number, since 2×870532082 = 15156522046182528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87053201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89541 + ... + 90507.

It is an arithmetic number, because the mean of its divisors is an integer number (2574880).

Almost surely, 287053208 is an apocalyptic number.

87053208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87053208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123594240).

87053208 is an abundant number, since it is smaller than the sum of its proper divisors (160135272).

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

87053208 is a wasteful number, since it uses less digits than its factorization.

87053208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 87053208 is about 9330.2308653109. The cubic root of 87053208 is about 443.1950760139.

The spelling of 87053208 in words is "eighty-seven million, fifty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 121 124 132 186 242 248 264 341 363 372 484 682 726 744 967 968 1023 1364 1452 1934 2046 2728 2901 2904 3751 3868 4092 5802 7502 7736 8184 10637 11253 11604 15004 21274 22506 23208 29977 30008 31911 42548 45012 59954 63822 85096 89931 90024 117007 119908 127644 179862 234014 239816 255288 329747 351021 359724 468028 659494 702042 719448 936056 989241 1318988 1404084 1978482 2637976 2808168 3627217 3956964 7254434 7913928 10881651 14508868 21763302 29017736 43526604 87053208