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87433812 = 223237411601
BaseRepresentation
bin1010011011000…
…10001001010100
320002112002122100
411031202021110
5134340340222
612402002100
72111114034
oct515421124
9202462570
1087433812
1145399354
1225346330
1315163bab
14b87d8c4
157a214ac
hex5362254

87433812 has 72 divisors (see below), whose sum is σ = 232668072. Its totient is φ = 27648000.

The previous prime is 87433799. The next prime is 87433813. The reversal of 87433812 is 21833478.

87433812 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 36796356 + 50637456 = 6066^2 + 7116^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87433813) 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, 53812 + ... + 55412.

It is an arithmetic number, because the mean of its divisors is an integer number (3231501).

Almost surely, 287433812 is an apocalyptic number.

87433812 is a gapful number since it is divisible by the number (82) 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 87433812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116334036).

87433812 is an abundant number, since it is smaller than the sum of its proper divisors (145234260).

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

87433812 is a wasteful number, since it uses less digits than its factorization.

87433812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 87433812 is about 9350.6049002190. The cubic root of 87433812 is about 443.8400324627.

The spelling of 87433812 in words is "eighty-seven million, four hundred thirty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1332 1476 1517 1601 3034 3202 4551 4803 6068 6404 9102 9606 13653 14409 18204 19212 27306 28818 54612 57636 59237 65641 118474 131282 177711 196923 236948 262564 355422 393846 533133 590769 710844 787692 1066266 1181538 2132532 2363076 2428717 4857434 7286151 9714868 14572302 21858453 29144604 43716906 87433812