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87097344 = 2163443
BaseRepresentation
bin1010011000100…
…00000000000000
320001220000002120
411030100000000
5134244103334
612350444240
72105213055
oct514200000
9201800076
1087097344
1145189584
1225203680
13150769b9
14b7d302c
1579a6949
hex5310000

87097344 has 68 divisors (see below), whose sum is σ = 232782096. Its totient is φ = 28966912.

The previous prime is 87097331. The next prime is 87097357. The reversal of 87097344 is 44379078.

It is an interprime number because it is at equal distance from previous prime (87097331) and next prime (87097357).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 87097296 and 87097305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196387 + ... + 196829.

Almost surely, 287097344 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 87097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116391048).

87097344 is an abundant number, since it is smaller than the sum of its proper divisors (145684752).

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

87097344 is an frugal number, since it uses more digits than its factorization.

87097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 87097344 is about 9332.5957803818. The cubic root of 87097344 is about 443.2699633671.

The spelling of 87097344 in words is "eighty-seven million, ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 443 512 768 886 1024 1329 1536 1772 2048 2658 3072 3544 4096 5316 6144 7088 8192 10632 12288 14176 16384 21264 24576 28352 32768 42528 49152 56704 65536 85056 98304 113408 170112 196608 226816 340224 453632 680448 907264 1360896 1814528 2721792 3629056 5443584 7258112 10887168 14516224 21774336 29032448 43548672 87097344