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87747072 = 29378161
BaseRepresentation
bin1010011101011…
…10101000000000
320010010000100120
411032232220000
5134430401242
612412420240
72113560240
oct516565000
9203100316
1087747072
1145592746
1225477680
131524365a
14b921b20
157a841ec
hex53aea00

87747072 has 80 divisors (see below), whose sum is σ = 267191232. Its totient is φ = 25067520.

The previous prime is 87747067. The next prime is 87747113. The reversal of 87747072 is 27074778.

It is a happy number.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6672 + ... + 14832.

Almost surely, 287747072 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 87747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133595616).

87747072 is an abundant number, since it is smaller than the sum of its proper divisors (179444160).

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

87747072 is an equidigital number, since it uses as much as digits as its factorization.

87747072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8173 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 42.

The square root of 87747072 is about 9367.3407112158. The cubic root of 87747072 is about 444.3694676486.

The spelling of 87747072 in words is "eighty-seven million, seven hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 8161 10752 16322 24483 32644 48966 57127 65288 97932 114254 130576 171381 195864 228508 261152 342762 391728 457016 522304 685524 783456 914032 1044608 1371048 1566912 1828064 2089216 2742096 3133824 3656128 4178432 5484192 6267648 7312256 10968384 12535296 14624512 21936768 29249024 43873536 87747072