Search a number
-
+
88073232 = 243132931157
BaseRepresentation
bin1010011111111…
…10010000010000
320010201120202120
411033332100100
5140021320412
612423414240
72116416162
oct517762020
9203646676
1088073232
11457957a5
12255b4380
1315328c50
14b9a8932
157aeab8c
hex53fe410

88073232 has 160 divisors (see below), whose sum is σ = 263316480. Its totient is φ = 25159680.

The previous prime is 88073231. The next prime is 88073239. The reversal of 88073232 is 23237088.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 88073193 and 88073202.

It is not an unprimeable number, because it can be changed into a prime (88073231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560898 + ... + 561054.

It is an arithmetic number, because the mean of its divisors is an integer number (1645728).

Almost surely, 288073232 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 88073232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131658240).

88073232 is an abundant number, since it is smaller than the sum of its proper divisors (175243248).

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

88073232 is a wasteful number, since it uses less digits than its factorization.

88073232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 88073232 is about 9384.7339866402. The cubic root of 88073232 is about 444.9193676235.

The spelling of 88073232 in words is "eighty-eight million, seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 31 39 48 52 58 62 78 87 93 104 116 124 156 157 174 186 208 232 248 312 314 348 372 377 403 464 471 496 624 628 696 744 754 806 899 942 1131 1209 1256 1392 1488 1508 1612 1798 1884 2041 2262 2418 2512 2697 3016 3224 3596 3768 4082 4524 4553 4836 4867 5394 6032 6123 6448 7192 7536 8164 9048 9106 9672 9734 10788 11687 12246 13659 14384 14601 16328 18096 18212 19344 19468 21576 23374 24492 27318 29202 32656 35061 36424 38936 43152 46748 48984 54636 58404 59189 63271 70122 72848 77872 93496 97968 109272 116808 118378 126542 140244 141143 177567 186992 189813 218544 233616 236756 253084 280488 282286 355134 379626 423429 473512 506168 560976 564572 710268 759252 846858 947024 1012336 1129144 1420536 1518504 1693716 1834859 2258288 2841072 3037008 3387432 3669718 5504577 6774864 7339436 11009154 14678872 22018308 29357744 44036616 88073232