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87104448 = 2632971559
BaseRepresentation
bin1010011000100…
…01101111000000
320001220100211200
411030101233000
5134244320243
612350541200
72105242554
oct514215700
9201810750
1087104448
1145193952
1225207800
1315079cc2
14b7d5864
1579a8ad3
hex5311bc0

87104448 has 84 divisors (see below), whose sum is σ = 252404880. Its totient is φ = 28717056.

The previous prime is 87104441. The next prime is 87104477. The reversal of 87104448 is 84440178.

It is a happy number.

It is a super-2 number, since 2×871044482 = 15174369722769408, which contains 22 as substring.

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 (87104441) 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 11 ways as a sum of consecutive naturals, for example, 55093 + ... + 56651.

It is an arithmetic number, because the mean of its divisors is an integer number (3004820).

Almost surely, 287104448 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 87104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126202440).

87104448 is an abundant number, since it is smaller than the sum of its proper divisors (165300432).

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

87104448 is a wasteful number, since it uses less digits than its factorization.

87104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 87104448 is about 9332.9763741263. The cubic root of 87104448 is about 443.2820146501.

The spelling of 87104448 in words is "eighty-seven million, one hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1559 1746 2328 3104 3118 3492 4656 4677 6208 6236 6984 9312 9354 12472 13968 14031 18624 18708 24944 27936 28062 37416 49888 55872 56124 74832 99776 112248 149664 151223 224496 299328 302446 448992 453669 604892 897984 907338 1209784 1361007 1814676 2419568 2722014 3629352 4839136 5444028 7258704 9678272 10888056 14517408 21776112 29034816 43552224 87104448