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88085712 = 243111341313
BaseRepresentation
bin1010100000000…
…01010011010000
320010202012212210
411100001103100
5140022220322
612423552120
72116500441
oct520012320
9203665783
1088085712
11457a4110
12255bb640
1315331830
14b9ad2c8
157aee70c
hex54014d0

88085712 has 160 divisors (see below), whose sum is σ = 274732416. Its totient is φ = 23961600.

The previous prime is 88085693. The next prime is 88085747. The reversal of 88085712 is 21758088.

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 31 ways as a sum of consecutive naturals, for example, 281268 + ... + 281580.

Almost surely, 288085712 is an apocalyptic number.

88085712 is a gapful number since it is divisible by the number (82) 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 88085712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137366208).

88085712 is an abundant number, since it is smaller than the sum of its proper divisors (186646704).

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

88085712 is a wasteful number, since it uses less digits than its factorization.

88085712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 88085712 is about 9385.3988727171. The cubic root of 88085712 is about 444.9403816945.

The spelling of 88085712 in words is "eighty-eight million, eighty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 41 44 48 52 66 78 82 88 104 123 132 143 156 164 176 208 246 264 286 312 313 328 429 451 492 528 533 572 624 626 656 858 902 939 984 1066 1144 1252 1353 1599 1716 1804 1878 1968 2132 2288 2504 2706 3198 3432 3443 3608 3756 4069 4264 5008 5412 5863 6396 6864 6886 7216 7512 8138 8528 10329 10824 11726 12207 12792 12833 13772 15024 16276 17589 20658 21648 23452 24414 25584 25666 27544 32552 35178 38499 41316 44759 46904 48828 51332 55088 65104 70356 76998 82632 89518 93808 97656 102664 134277 140712 141163 153996 165264 166829 179036 195312 205328 268554 281424 282326 307992 333658 358072 423489 500487 537108 564652 615984 667316 716144 846978 1000974 1074216 1129304 1334632 1693956 1835119 2001948 2148432 2258608 2669264 3387912 3670238 4003896 5505357 6775824 7340476 8007792 11010714 14680952 22021428 29361904 44042856 88085712