Search a number
-
+
1149444 = 223329367
BaseRepresentation
bin100011000101000000100
32011101202000
410120220010
5243240234
640345300
712525102
oct4305004
92141660
101149444
1171565a
12475230
1331325a
1421cc72
1517a899
hex118a04

1149444 has 48 divisors (see below), whose sum is σ = 3091200. Its totient is φ = 368928.

The previous prime is 1149427. The next prime is 1149457. The reversal of 1149444 is 4449411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 2949 + ... + 3315.

It is an arithmetic number, because the mean of its divisors is an integer number (64400).

21149444 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 1149444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545600).

1149444 is an abundant number, since it is smaller than the sum of its proper divisors (1941756).

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

1149444 is a wasteful number, since it uses less digits than its factorization.

1149444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1149444 is about 1072.1212617983. The cubic root of 1149444 is about 104.7520680912.

It can be divided in two parts, 11 and 49444, that added together give a triangular number (49455 = T314).

The spelling of 1149444 in words is "one million, one hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 367 522 734 783 1044 1101 1468 1566 2202 3132 3303 4404 6606 9909 10643 13212 19818 21286 31929 39636 42572 63858 95787 127716 191574 287361 383148 574722 1149444