Search a number
-
+
1148642688 = 2736149037
BaseRepresentation
bin100010001110110…
…1110010110000000
32222001101002112210
41010131232112000
54323023031223
6305551222120
740315205334
oct10435562600
92861332483
101148642688
1153a419286
12280817940
13153c8233b
14ac7a17c4
156ac93893
hex4476e580

1148642688 has 64 divisors (see below), whose sum is σ = 3101163120. Its totient is φ = 376596480.

The previous prime is 1148642687. The next prime is 1148642717. The reversal of 1148642688 is 8862468411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148642687) 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, 1095 + ... + 47942.

Almost surely, 21148642688 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 1148642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550581560).

1148642688 is an abundant number, since it is smaller than the sum of its proper divisors (1952520432).

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

1148642688 is an equidigital number, since it uses as much as digits as its factorization.

1148642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49115 (or 49103 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 1148642688 is about 33891.6315334627. The cubic root of 1148642688 is about 1047.2772049296.

The spelling of 1148642688 in words is "one billion, one hundred forty-eight million, six hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 3904 5856 7808 11712 23424 49037 98074 147111 196148 294222 392296 588444 784592 1176888 1569184 2353776 2991257 3138368 4707552 5982514 6276736 8973771 9415104 11965028 17947542 18830208 23930056 35895084 47860112 71790168 95720224 143580336 191440448 287160672 382880896 574321344 1148642688