Search a number
-
+
1382311152 = 243215116353
BaseRepresentation
bin101001001100100…
…0110010011110000
310120100001200102100
41102121012103300
510312332424102
6345055420400
746153310445
oct12231062360
93510050370
101382311152
1164a307912
12326b24700
131904c72c1
14d18299cc
158154da1c
hex526464f0

1382311152 has 60 divisors (see below), whose sum is σ = 3871720944. Its totient is φ = 460392960.

The previous prime is 1382311081. The next prime is 1382311159. The reversal of 1382311152 is 2511132831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382311159) 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 11 ways as a sum of consecutive naturals, for example, 214408 + ... + 220760.

Almost surely, 21382311152 is an apocalyptic number.

1382311152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1382311152 is an abundant number, since it is smaller than the sum of its proper divisors (2489409792).

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

1382311152 is a wasteful number, since it uses less digits than its factorization.

1382311152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7869 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 1382311152 is about 37179.4452890303. The cubic root of 1382311152 is about 1113.9574540532.

Adding to 1382311152 its reverse (2511132831), we get a palindrome (3893443983).

The spelling of 1382311152 in words is "one billion, three hundred eighty-two million, three hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1511 3022 4533 6044 6353 9066 12088 12706 13599 18132 19059 24176 25412 27198 36264 38118 50824 54396 57177 72528 76236 101648 108792 114354 152472 217584 228708 304944 457416 914832 9599383 19198766 28798149 38397532 57596298 76795064 86394447 115192596 153590128 172788894 230385192 345577788 460770384 691155576 1382311152