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87435852 = 22378312541
BaseRepresentation
bin1010011011000…
…10101001001100
320002112012102220
411031202221030
5134340421402
612402015340
72111123010
oct515425114
9202465386
1087435852
114539a939
1225347550
1315164aba
14b880540
157a21dbc
hex5362a4c

87435852 has 48 divisors (see below), whose sum is σ = 235990272. Its totient is φ = 24678720.

The previous prime is 87435827. The next prime is 87435863. The reversal of 87435852 is 25853478.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702 + ... + 13242.

It is an arithmetic number, because the mean of its divisors is an integer number (4916464).

Almost surely, 287435852 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 87435852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117995136).

87435852 is an abundant number, since it is smaller than the sum of its proper divisors (148554420).

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

87435852 is a wasteful number, since it uses less digits than its factorization.

87435852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12638 (or 12636 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 87435852 is about 9350.7139834346. The cubic root of 87435852 is about 443.8434843181.

The spelling of 87435852 in words is "eighty-seven million, four hundred thirty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 6972 12541 25082 37623 50164 75246 87787 150492 175574 263361 351148 526722 1040903 1053444 2081806 3122709 4163612 6245418 7286321 12490836 14572642 21858963 29145284 43717926 87435852