Search a number
-
+
109838448 = 24321993833
BaseRepresentation
bin1101000110000…
…00000001110000
321122200101000200
412203000001300
5211104312243
614522115200
72502416466
oct643000160
9248611020
10109838448
1157001285
123094bb00
13199a9985
1410832836
159999ad3
hex68c0070

109838448 has 60 divisors (see below), whose sum is σ = 309020400. Its totient is φ = 36419328.

The previous prime is 109838447. The next prime is 109838453. The reversal of 109838448 is 844838901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109838441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26740 + ... + 30572.

It is an arithmetic number, because the mean of its divisors is an integer number (5150340).

Almost surely, 2109838448 is an apocalyptic number.

109838448 is a gapful number since it is divisible by the number (18) 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 109838448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154510200).

109838448 is an abundant number, since it is smaller than the sum of its proper divisors (199181952).

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

109838448 is a wasteful number, since it uses less digits than its factorization.

109838448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4037 counting only the distinct ones).

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

The square root of 109838448 is about 10480.3839624319. The cubic root of 109838448 is about 478.9073060959.

The spelling of 109838448 in words is "one hundred nine million, eight hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 2388 3184 3582 3833 4776 7164 7666 9552 11499 14328 15332 22998 28656 30664 34497 45996 61328 68994 91992 137988 183984 275976 551952 762767 1525534 2288301 3051068 4576602 6102136 6864903 9153204 12204272 13729806 18306408 27459612 36612816 54919224 109838448