Search a number
-
+
88036146 = 23411127389
BaseRepresentation
bin1010011111101…
…01001100110010
320010122200220000
411033311030302
5140014124041
612422530430
72116203102
oct517651462
9203580800
1088036146
114576a950
1225596a16
13153150c3
14b999202
157adebb6
hex53f5332

88036146 has 80 divisors (see below), whose sum is σ = 217451520. Its totient is φ = 26399520.

The previous prime is 88036129. The next prime is 88036147. The reversal of 88036146 is 64163088.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 88036146.

It is not an unprimeable number, because it can be changed into a prime (88036147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 226120 + ... + 226508.

It is an arithmetic number, because the mean of its divisors is an integer number (2718144).

Almost surely, 288036146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88036146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108725760).

88036146 is an abundant number, since it is smaller than the sum of its proper divisors (129415374).

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

88036146 is a wasteful number, since it uses less digits than its factorization.

88036146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 88036146 is about 9382.7579101243. The cubic root of 88036146 is about 444.8569097657.

The spelling of 88036146 in words is "eighty-eight million, thirty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 127 162 198 254 297 381 389 594 762 778 891 1143 1167 1397 1782 2286 2334 2794 3429 3501 4191 4279 6858 7002 8382 8558 10287 10503 12573 12837 20574 21006 25146 25674 31509 37719 38511 49403 63018 75438 77022 98806 113157 115533 148209 226314 231066 296418 346599 444627 543433 693198 889254 1086866 1333881 1630299 2667762 3260598 4001643 4890897 8003286 9781794 14672691 29345382 44018073 88036146