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87443424 = 25322343307
BaseRepresentation
bin1010011011001…
…00011111100000
320002112120211100
411031210133200
5134341142144
612402114400
72111154045
oct515443740
9202476740
1087443424
11453a55a2
122534ba00
1315168393
14b8831cc
157a24269
hex53647e0

87443424 has 144 divisors (see below), whose sum is σ = 266378112. Its totient is φ = 27143424.

The previous prime is 87443423. The next prime is 87443449. The reversal of 87443424 is 42434478.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (87443423) 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 23 ways as a sum of consecutive naturals, for example, 284679 + ... + 284985.

It is an arithmetic number, because the mean of its divisors is an integer number (1849848).

Almost surely, 287443424 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 87443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189056).

87443424 is an abundant number, since it is smaller than the sum of its proper divisors (178934688).

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

87443424 is a wasteful number, since it uses less digits than its factorization.

87443424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 87443424 is about 9351.1188635371. The cubic root of 87443424 is about 443.8562963236.

The spelling of 87443424 in words is "eighty-seven million, four hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 43 46 48 69 72 86 92 96 129 138 144 172 184 207 258 276 288 307 344 368 387 414 516 552 614 688 736 774 828 921 989 1032 1104 1228 1376 1548 1656 1842 1978 2064 2208 2456 2763 2967 3096 3312 3684 3956 4128 4912 5526 5934 6192 6624 7061 7368 7912 8901 9824 11052 11868 12384 13201 14122 14736 15824 17802 21183 22104 23736 26402 28244 29472 31648 35604 39603 42366 44208 47472 52804 56488 63549 71208 79206 84732 88416 94944 105608 112976 118809 127098 142416 158412 169464 211216 225952 237618 254196 284832 303623 316824 338928 422432 475236 508392 607246 633648 677856 910869 950472 1016784 1214492 1267296 1821738 1900944 2033568 2428984 2732607 3643476 3801888 4857968 5465214 7286952 9715936 10930428 14573904 21860856 29147808 43721712 87443424