Search a number
-
+
1150299444 = 2237194117579
BaseRepresentation
bin100010010010000…
…0010110100110100
32222011111021012010
41010210002310310
54323434040234
6310050524220
740335245460
oct10444026464
92864437163
101150299444
1154034aaa8
12281296670
13154412478
14acab34a0
156aebe6e9
hex44902d34

1150299444 has 96 divisors (see below), whose sum is σ = 3307852800. Its totient is φ = 303747840.

The previous prime is 1150299431. The next prime is 1150299467. The reversal of 1150299444 is 4449920511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56647 + ... + 74225.

It is an arithmetic number, because the mean of its divisors is an integer number (34456800).

Almost surely, 21150299444 is an apocalyptic number.

1150299444 is a gapful number since it is divisible by the number (14) 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 1150299444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653926400).

1150299444 is an abundant number, since it is smaller than the sum of its proper divisors (2157553356).

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

1150299444 is a wasteful number, since it uses less digits than its factorization.

1150299444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17653 (or 17651 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1150299444 is about 33916.0646891705. The cubic root of 1150299444 is about 1047.7804798745.

The spelling of 1150299444 in words is "one billion, one hundred fifty million, two hundred ninety-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 41 42 57 76 82 84 114 123 133 164 228 246 266 287 399 492 532 574 779 798 861 1148 1558 1596 1722 2337 3116 3444 4674 5453 9348 10906 16359 17579 21812 32718 35158 52737 65436 70316 105474 123053 210948 246106 334001 369159 492212 668002 720739 738318 1002003 1336004 1441478 1476636 2004006 2162217 2338007 2882956 4008012 4324434 4676014 5045173 7014021 8648868 9352028 10090346 13694041 14028042 15135519 20180692 27388082 28056084 30271038 41082123 54776164 60542076 82164246 95858287 164328492 191716574 287574861 383433148 575149722 1150299444