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88861104 = 24332941173
BaseRepresentation
bin1010100101111…
…10100110110000
320012012121112000
411102332212300
5140222023404
612452334000
72126210163
oct522764660
9205177460
1088861104
1146183732
1225914300
1315543747
14bb31ada
157c04339
hex54be9b0

88861104 has 160 divisors (see below), whose sum is σ = 271857600. Its totient is φ = 27740160.

The previous prime is 88861103. The next prime is 88861109. The reversal of 88861104 is 40116888.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88861103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513562 + ... + 513734.

It is an arithmetic number, because the mean of its divisors is an integer number (1699110).

Almost surely, 288861104 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 88861104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135928800).

88861104 is an abundant number, since it is smaller than the sum of its proper divisors (182996496).

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

88861104 is a wasteful number, since it uses less digits than its factorization.

88861104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 88861104 is about 9426.6167844036. The cubic root of 88861104 is about 446.2421282419.

The spelling of 88861104 in words is "eighty-eight million, eight hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 41 48 54 58 72 82 87 108 116 123 144 164 173 174 216 232 246 261 328 346 348 369 432 464 492 519 522 656 692 696 738 783 984 1038 1044 1107 1189 1384 1392 1476 1557 1566 1968 2076 2088 2214 2378 2768 2952 3114 3132 3567 4152 4176 4428 4671 4756 5017 5904 6228 6264 7093 7134 8304 8856 9342 9512 10034 10701 12456 12528 14186 14268 15051 17712 18684 19024 20068 21279 21402 24912 28372 28536 30102 32103 37368 40136 42558 42804 45153 56744 57072 60204 63837 64206 74736 80272 85116 85608 90306 113488 120408 127674 128412 135459 170232 171216 180612 191511 205697 240816 255348 256824 270918 340464 361224 383022 411394 510696 513648 541836 617091 722448 766044 822788 1021392 1083672 1234182 1532088 1645576 1851273 2167344 2468364 3064176 3291152 3702546 4936728 5553819 7405092 9873456 11107638 14810184 22215276 29620368 44430552 88861104