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87247368 = 23341310357
BaseRepresentation
bin1010011001101…
…00101000001000
320002011121220000
411030310220020
5134313403433
612354003000
72106406335
oct514645010
9202147800
1087247368
114528126a
1225276460
13150ca080
14b83198c
1579d6113
hex5334a08

87247368 has 80 divisors (see below), whose sum is σ = 263196780. Its totient is φ = 26842752.

The previous prime is 87247351. The next prime is 87247379. The reversal of 87247368 is 86374278.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83942244 + 3305124 = 9162^2 + 1818^2 .

It is a super-2 number, since 2×872473682 = 15224206445854848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3246 + ... + 13602.

Almost surely, 287247368 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 87247368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131598390).

87247368 is an abundant number, since it is smaller than the sum of its proper divisors (175949412).

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

87247368 is a wasteful number, since it uses less digits than its factorization.

87247368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10388 (or 10375 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 87247368 is about 9340.6299573423. The cubic root of 87247368 is about 443.5243262214.

The spelling of 87247368 in words is "eighty-seven million, two hundred forty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 10357 20714 31071 41428 62142 82856 93213 124284 134641 186426 248568 269282 279639 372852 403923 538564 559278 745704 807846 838917 1077128 1118556 1211769 1615692 1677834 2237112 2423538 3231384 3355668 3635307 4847076 6711336 7270614 9694152 10905921 14541228 21811842 29082456 43623684 87247368