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87393096 = 23327317547
BaseRepresentation
bin1010011010110…
…00001101001000
320002110000210100
411031120031020
5134333034341
612401045400
72110554240
oct515301510
9202400710
1087393096
11453707aa
1225326860
131514b4bb
14b86cb20
157a143b6
hex5358348

87393096 has 96 divisors (see below), whose sum is σ = 271851840. Its totient is φ = 24845184.

The previous prime is 87393091. The next prime is 87393121. The reversal of 87393096 is 69039378.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87393091) 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 23 ways as a sum of consecutive naturals, for example, 159495 + ... + 160041.

It is an arithmetic number, because the mean of its divisors is an integer number (2831790).

Almost surely, 287393096 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 87393096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135925920).

87393096 is an abundant number, since it is smaller than the sum of its proper divisors (184458744).

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

87393096 is a wasteful number, since it uses less digits than its factorization.

87393096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 87393096 is about 9348.4274613434. The cubic root of 87393096 is about 443.7711262573.

The spelling of 87393096 in words is "eighty-seven million, three hundred ninety-three thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 317 504 547 634 951 1094 1268 1641 1902 2188 2219 2536 2853 3282 3804 3829 4376 4438 4923 5706 6564 6657 7608 7658 8876 9846 11412 11487 13128 13314 15316 17752 19692 19971 22824 22974 26628 30632 34461 39384 39942 45948 53256 68922 79884 91896 137844 159768 173399 275688 346798 520197 693596 1040394 1213793 1387192 1560591 2080788 2427586 3121182 3641379 4161576 4855172 6242364 7282758 9710344 10924137 12484728 14565516 21848274 29131032 43696548 87393096