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87243772 = 22711594801
BaseRepresentation
bin1010011001100…
…11101111111100
320002011102221211
411030303233330
5134313300042
612353534204
72106363010
oct514635774
9202142854
1087243772
11452795a0
1225274364
13150c8545
14b830540
1579d5017
hex5333bfc

87243772 has 48 divisors (see below), whose sum is σ = 193616640. Its totient is φ = 33408000.

The previous prime is 87243769. The next prime is 87243799. The reversal of 87243772 is 27734278.

It is a super-2 number, since 2×872437722 = 15222951505575968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15772 + ... + 20572.

It is an arithmetic number, because the mean of its divisors is an integer number (4033680).

Almost surely, 287243772 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 87243772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96808320).

87243772 is an abundant number, since it is smaller than the sum of its proper divisors (106372868).

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

87243772 is a wasteful number, since it uses less digits than its factorization.

87243772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4880 counting only the distinct ones).

The product of its digits is 131712, while the sum is 40.

The square root of 87243772 is about 9340.4374629886. The cubic root of 87243772 is about 443.5182326836.

It can be divided in two parts, 872 and 43772, that added together give a palindrome (44644).

The spelling of 87243772 in words is "eighty-seven million, two hundred forty-three thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 154 236 308 413 649 826 1298 1652 2596 4543 4801 9086 9602 18172 19204 33607 52811 67214 105622 134428 211244 283259 369677 566518 739354 1133036 1478708 1982813 3115849 3965626 6231698 7931252 12463396 21810943 43621886 87243772