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87433801 = 7131961829
BaseRepresentation
bin1010011011000…
…10001001001001
320002112002121221
411031202021021
5134340340201
612402002041
72111114020
oct515421111
9202462557
1087433801
1145399344
1225346321
1315163ba0
14b87d8b7
157a214a1
hex5362249

87433801 has 32 divisors (see below), whose sum is σ = 115270400. Its totient is φ = 64385280.

The previous prime is 87433799. The next prime is 87433813. The reversal of 87433801 is 10833478.

It is a cyclic number.

It is not a de Polignac number, because 87433801 - 21 = 87433799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87433891) 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 31 ways as a sum of consecutive naturals, for example, 105055 + ... + 105883.

It is an arithmetic number, because the mean of its divisors is an integer number (3602200).

Almost surely, 287433801 is an apocalyptic number.

It is an amenable number.

87433801 is a deficient number, since it is larger than the sum of its proper divisors (27836599).

87433801 is a wasteful number, since it uses less digits than its factorization.

87433801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 87433801 is about 9350.6043120218. The cubic root of 87433801 is about 443.8400138497.

It can be divided in two parts, 8743 and 3801, that added together give a square (12544 = 1122).

The spelling of 87433801 in words is "eighty-seven million, four hundred thirty-three thousand, eight hundred one".

Divisors: 1 7 13 19 61 91 133 247 427 793 829 1159 1729 5551 5803 8113 10777 15067 15751 50569 75439 105469 110257 204763 353983 657397 960811 1433341 4601779 6725677 12490543 87433801