Search a number
-
+
88830544 = 24115389107
BaseRepresentation
bin1010100101101…
…11001001010000
320012011001121011
411102313021100
5140220034134
612451540304
72126022115
oct522671120
9205131534
1088830544
1146162780
12258ba694
131553286a
14bb2490c
157bea264
hex54b7250

88830544 has 80 divisors (see below), whose sum is σ = 195255360. Its totient is φ = 38804480.

The previous prime is 88830541. The next prime is 88830557. The reversal of 88830544 is 44503888.

It is a junction number, because it is equal to n+sod(n) for n = 88830497 and 88830506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88830541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830139 + ... + 830245.

It is an arithmetic number, because the mean of its divisors is an integer number (2440692).

Almost surely, 288830544 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 88830544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97627680).

88830544 is an abundant number, since it is smaller than the sum of its proper divisors (106424816).

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

88830544 is a wasteful number, since it uses less digits than its factorization.

88830544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 88830544 is about 9424.9957029168. The cubic root of 88830544 is about 446.1909670385.

The spelling of 88830544 in words is "eighty-eight million, eight hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 89 106 107 176 178 212 214 356 424 428 583 712 848 856 979 1166 1177 1424 1712 1958 2332 2354 3916 4664 4708 4717 5671 7832 9328 9416 9434 9523 11342 15664 18832 18868 19046 22684 37736 38092 45368 51887 62381 75472 76184 90736 103774 104753 124762 152368 207548 209506 249524 415096 419012 499048 504719 830192 838024 998096 1009438 1676048 2018876 4037752 5551909 8075504 11103818 22207636 44415272 88830544