Search a number
-
+
42869088 = 253537149
BaseRepresentation
bin1010001110001…
…0000101100000
32222122222100000
42203202011200
541433302323
64130500000
71030244523
oct243420540
988588300
1042869088
11222201a9
1212434600
138b5c732
14599cbba
153b6be43
hex28e2160

42869088 has 144 divisors (see below), whose sum is σ = 130712400. Its totient is φ = 13810176.

The previous prime is 42869083. The next prime is 42869089. The reversal of 42869088 is 88096824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42869083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287638 + ... + 287786.

It is an arithmetic number, because the mean of its divisors is an integer number (907725).

Almost surely, 242869088 is an apocalyptic number.

42869088 is a gapful number since it is divisible by the number (48) 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 42869088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65356200).

42869088 is an abundant number, since it is smaller than the sum of its proper divisors (87843312).

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

42869088 is a wasteful number, since it uses less digits than its factorization.

42869088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 42869088 is about 6547.4489688733. The cubic root of 42869088 is about 349.9839121857.

The spelling of 42869088 in words is "forty-two million, eight hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 149 162 216 222 243 288 296 298 324 333 432 444 447 486 592 596 648 666 864 888 894 972 999 1184 1192 1296 1332 1341 1776 1788 1944 1998 2384 2592 2664 2682 2997 3552 3576 3888 3996 4023 4768 5328 5364 5513 5994 7152 7776 7992 8046 8991 10656 10728 11026 11988 12069 14304 15984 16092 16539 17982 21456 22052 23976 24138 31968 32184 33078 35964 36207 42912 44104 47952 48276 49617 64368 66156 71928 72414 88208 95904 96552 99234 128736 132312 143856 144828 148851 176416 193104 198468 264624 287712 289656 297702 386208 396936 446553 529248 579312 595404 793872 893106 1158624 1190808 1339659 1587744 1786212 2381616 2679318 3572424 4763232 5358636 7144848 10717272 14289696 21434544 42869088