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87923088 = 243211471181
BaseRepresentation
bin1010011110110…
…01100110010000
320010102221210200
411033121212100
5140002014323
612420255200
72115222351
oct517314620
9203387720
1087923088
11456a2a10
1225541500
13152a57c6
14b969d28
157abb443
hex53d9990

87923088 has 120 divisors (see below), whose sum is σ = 274375296. Its totient is φ = 26054400.

The previous prime is 87923083. The next prime is 87923093. The reversal of 87923088 is 88032978.

It is an interprime number because it is at equal distance from previous prime (87923083) and next prime (87923093).

It is not an unprimeable number, because it can be changed into a prime (87923083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73858 + ... + 75038.

Almost surely, 287923088 is an apocalyptic number.

87923088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87923088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137187648).

87923088 is an abundant number, since it is smaller than the sum of its proper divisors (186452208).

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

87923088 is a wasteful number, since it uses less digits than its factorization.

87923088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 87923088 is about 9376.7312001571. The cubic root of 87923088 is about 444.6663964368. Note that the first 3 decimals are identical.

The spelling of 87923088 in words is "eighty-seven million, nine hundred twenty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 423 517 528 564 752 792 846 1034 1128 1181 1551 1584 1692 2068 2256 2362 3102 3384 3543 4136 4653 4724 6204 6768 7086 8272 9306 9448 10629 12408 12991 14172 18612 18896 21258 24816 25982 28344 37224 38973 42516 51964 55507 56688 74448 77946 85032 103928 111014 116919 155892 166521 170064 207856 222028 233838 311784 333042 444056 467676 499563 610577 623568 666084 888112 935352 999126 1221154 1332168 1831731 1870704 1998252 2442308 2664336 3663462 3996504 4884616 5495193 7326924 7993008 9769232 10990386 14653848 21980772 29307696 43961544 87923088