Search a number
-
+
88081416 = 23321931267
BaseRepresentation
bin1010100000000…
…00010000001000
320010201222222200
411100000100020
5140022101131
612423520200
72116452063
oct520002010
9203658880
1088081416
11457a0965
12255b9060
131532c8a7
14b9ab8da
157aed2e6
hex5400408

88081416 has 144 divisors (see below), whose sum is σ = 263343600. Its totient is φ = 26516160.

The previous prime is 88081391. The next prime is 88081429. The reversal of 88081416 is 61418088.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1314615 + ... + 1314681.

It is an arithmetic number, because the mean of its divisors is an integer number (1828775).

Almost surely, 288081416 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 88081416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131671800).

88081416 is an abundant number, since it is smaller than the sum of its proper divisors (175262184).

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

88081416 is a wasteful number, since it uses less digits than its factorization.

88081416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 122 counting only the distinct ones).

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

The square root of 88081416 is about 9385.1700037879. The cubic root of 88081416 is about 444.9331482287.

The spelling of 88081416 in words is "eighty-eight million, eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 67 72 76 93 114 124 134 152 171 186 201 228 248 268 279 342 372 402 456 536 558 589 603 684 744 804 961 1116 1178 1206 1273 1368 1608 1767 1922 2077 2232 2356 2412 2546 2883 3534 3819 3844 4154 4712 4824 5092 5301 5766 6231 7068 7638 7688 8308 8649 10184 10602 11457 11532 12462 14136 15276 16616 17298 18259 18693 21204 22914 23064 24924 30552 34596 36518 37386 39463 42408 45828 49848 54777 64387 69192 73036 74772 78926 91656 109554 118389 128774 146072 149544 157852 164331 193161 219108 236778 257548 315704 328662 355167 386322 438216 473556 515096 579483 657324 710334 772644 947112 1158966 1223353 1314648 1420668 1545288 2317932 2446706 2841336 3670059 4635864 4893412 7340118 9786824 11010177 14680236 22020354 29360472 44040708 88081416