Search a number
-
+
1948231152 = 243273752237
BaseRepresentation
bin111010000011111…
…1010010111110000
312000202221101201100
41310013322113300
512442221344102
6521153204400
766164456130
oct16407722760
95022841640
101948231152
1190a7a899a
12464560700
1325081caca
14146a60ac0
15b6088a1c
hex741fa5f0

1948231152 has 120 divisors (see below), whose sum is σ = 6399781856. Its totient is φ = 541582848.

The previous prime is 1948231151. The next prime is 1948231183. The reversal of 1948231152 is 2511328491.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948231151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11178 + ... + 63414.

Almost surely, 21948231152 is an apocalyptic number.

1948231152 is a gapful number since it is divisible by the number (12) 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 1948231152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199890928).

1948231152 is an abundant number, since it is smaller than the sum of its proper divisors (4451550704).

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

1948231152 is a wasteful number, since it uses less digits than its factorization.

1948231152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52295 (or 52286 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1948231152 is about 44138.7715279889. The cubic root of 1948231152 is about 1248.9551058938.

The spelling of 1948231152 in words is "one billion, nine hundred forty-eight million, two hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 2072 2331 2664 3108 4144 4662 5328 6216 9324 12432 18648 37296 52237 104474 156711 208948 313422 365659 417896 470133 626844 731318 835792 940266 1096977 1253688 1462636 1880532 1932769 2193954 2507376 2925272 3290931 3761064 3865538 4387908 5798307 5850544 6581862 7522128 7731076 8775816 11596614 13163724 13529383 15462152 17394921 17551632 23193228 26327448 27058766 30924304 34789842 40588149 46386456 52654896 54117532 69579684 81176298 92772912 108235064 121764447 139159368 162352596 216470128 243528894 278318736 324705192 487057788 649410384 974115576 1948231152