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87921912 = 23313253409
BaseRepresentation
bin1010011110110…
…01010011111000
320010102220012010
411033121103320
5140002000122
612420245520
72115216051
oct517312370
9203386163
1087921912
11456a2041
12255408a0
13152a5100
14b969728
157abae0c
hex53d94f8

87921912 has 96 divisors (see below), whose sum is σ = 243097200. Its totient is φ = 26477568.

The previous prime is 87921901. The next prime is 87921929. The reversal of 87921912 is 21912978.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214764 + ... + 215172.

Almost surely, 287921912 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 87921912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121548600).

87921912 is an abundant number, since it is smaller than the sum of its proper divisors (155175288).

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

87921912 is a wasteful number, since it uses less digits than its factorization.

87921912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 87921912 is about 9376.6684915273. The cubic root of 87921912 is about 444.6644139086.

It can be divided in two parts, 879 and 21912, that added together give a triangular number (22791 = T213).

The spelling of 87921912 in words is "eighty-seven million, nine hundred twenty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 169 212 312 318 338 409 424 507 636 676 689 818 1014 1227 1272 1352 1378 1636 2028 2067 2454 2756 3272 4056 4134 4908 5317 5512 8268 8957 9816 10634 15951 16536 17914 21268 21677 26871 31902 35828 42536 43354 53742 63804 65031 69121 71656 86708 107484 127608 130062 138242 173416 207363 214968 260124 276484 281801 414726 520248 552968 563602 829452 845403 1127204 1658904 1690806 2254408 3381612 3663413 6763224 7326826 10990239 14653652 21980478 29307304 43960956 87921912