Search a number
-
+
89046272 = 287173779
BaseRepresentation
bin1010100111010…
…11110100000000
320012120000112002
411103223310000
5140243440042
612500323132
72130611060
oct523536400
9205500462
1089046272
114629a867
12259a34a8
13155a9b03
14bb7d3a0
157c3e132
hex54ebd00

89046272 has 144 divisors (see below), whose sum is σ = 223695360. Its totient is φ = 34504704.

The previous prime is 89046259. The next prime is 89046313. The reversal of 89046272 is 27264098.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1127129 + ... + 1127207.

It is an arithmetic number, because the mean of its divisors is an integer number (1553440).

Almost surely, 289046272 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 89046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111847680).

89046272 is an abundant number, since it is smaller than the sum of its proper divisors (134649088).

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

89046272 is a wasteful number, since it uses less digits than its factorization.

89046272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 89046272 is about 9436.4332244763. The cubic root of 89046272 is about 446.5518716904.

The spelling of 89046272 in words is "eighty-nine million, forty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 64 68 74 79 112 119 128 136 148 158 224 238 256 259 272 296 316 448 476 518 544 553 592 629 632 896 952 1036 1088 1106 1184 1258 1264 1343 1792 1904 2072 2176 2212 2368 2516 2528 2686 2923 3808 4144 4352 4403 4424 4736 5032 5056 5372 5846 7616 8288 8806 8848 9401 9472 10064 10112 10744 11692 15232 16576 17612 17696 18802 20128 20224 20461 21488 23384 30464 33152 35224 35392 37604 40256 40922 42976 46768 49691 66304 70448 70784 75208 80512 81844 85952 93536 99382 140896 141568 150416 161024 163688 171904 187072 198764 281792 300832 327376 343808 347837 374144 397528 563584 601664 654752 695674 748288 795056 1127168 1203328 1309504 1391348 1590112 2406656 2619008 2782696 3180224 5238016 5565392 6360448 11130784 12720896 22261568 44523136 89046272