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1148264448 = 213346723
BaseRepresentation
bin100010001110001…
…0010000000000000
32222000122212200220
41010130102000000
54322423430243
6305535143040
740312041522
oct10434220000
92860585626
101148264448
1153a190091
12280674a80
13153b7c126
14ac703a12
156ac1b783
hex44712000

1148264448 has 56 divisors (see below), whose sum is σ = 3061917168. Its totient is φ = 382746624.

The previous prime is 1148264437. The next prime is 1148264479. The reversal of 1148264448 is 8444628411.

It is a super-2 number, since 2×11482644482 = 2637022485081489408, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1215 + ... + 47937.

Almost surely, 21148264448 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 1148264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530958584).

1148264448 is an abundant number, since it is smaller than the sum of its proper divisors (1913652720).

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

1148264448 is an frugal number, since it uses more digits than its factorization.

1148264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46752 (or 46728 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 1148264448 is about 33886.0509354513. The cubic root of 1148264448 is about 1047.1622386243.

The spelling of 1148264448 in words is "one billion, one hundred forty-eight million, two hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 24576 46723 93446 140169 186892 280338 373784 560676 747568 1121352 1495136 2242704 2990272 4485408 5980544 8970816 11961088 17941632 23922176 35883264 47844352 71766528 95688704 143533056 191377408 287066112 382754816 574132224 1148264448