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87440444 = 227132291049
BaseRepresentation
bin1010011011000…
…11110000111100
320002112102201222
411031203300330
5134341043234
612402052512
72111142260
oct515436074
9202472658
1087440444
11453a3333
122534a138
1315166c10
14b8820a0
157a2342e
hex5363c3c

87440444 has 48 divisors (see below), whose sum is σ = 189336000. Its totient is φ = 34407936.

The previous prime is 87440393. The next prime is 87440461. The reversal of 87440444 is 44404478.

It is a happy number.

It is a congruent number.

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, 82832 + ... + 83880.

It is an arithmetic number, because the mean of its divisors is an integer number (3944500).

Almost surely, 287440444 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 87440444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94668000).

87440444 is an abundant number, since it is smaller than the sum of its proper divisors (101895556).

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

87440444 is a wasteful number, since it uses less digits than its factorization.

87440444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 35.

The square root of 87440444 is about 9350.9595229581. The cubic root of 87440444 is about 443.8512541805.

The spelling of 87440444 in words is "eighty-seven million, four hundred forty thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 229 364 458 916 1049 1603 2098 2977 3206 4196 5954 6412 7343 11908 13637 14686 20839 27274 29372 41678 54548 83356 95459 190918 240221 381836 480442 960884 1681547 3122873 3363094 6245746 6726188 12491492 21860111 43720222 87440444