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1149118048 = 251327110193
BaseRepresentation
bin100010001111110…
…0010011001100000
32222002021020121201
41010133202121200
54323133234143
6310005330544
740322225251
oct10437423140
92862236551
101149118048
1153a713441
12280a06a54
131540ba810
14ac886b28
156ad3964d
hex447e2660

1149118048 has 48 divisors (see below), whose sum is σ = 2445581376. Its totient is φ = 528353280.

The previous prime is 1149118007. The next prime is 1149118049. The reversal of 1149118048 is 8408119411.

It is a junction number, because it is equal to n+sod(n) for n = 1149117998 and 1149118016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149118049) 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 7 ways as a sum of consecutive naturals, for example, 107640 + ... + 117832.

It is an arithmetic number, because the mean of its divisors is an integer number (50949612).

Almost surely, 21149118048 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 1149118048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222790688).

1149118048 is an abundant number, since it is smaller than the sum of its proper divisors (1296463328).

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

1149118048 is a wasteful number, since it uses less digits than its factorization.

1149118048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487 (or 10479 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The square root of 1149118048 is about 33898.6437486812. The cubic root of 1149118048 is about 1047.4216551397.

The spelling of 1149118048 in words is "one billion, one hundred forty-nine million, one hundred eighteen thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 271 416 542 1084 2168 3523 4336 7046 8672 10193 14092 20386 28184 40772 56368 81544 112736 132509 163088 265018 326176 530036 1060072 2120144 2762303 4240288 5524606 11049212 22098424 35909939 44196848 71819878 88393696 143639756 287279512 574559024 1149118048