Search a number
-
+
1468869752 = 23761795443
BaseRepresentation
bin101011110001101…
…0010110001111000
310210100221022111102
41113203102301320
511002012313002
6401430550532
751254121050
oct12743226170
93710838442
101468869752
11694158649
1234bb08448
131a54129cc
14dd11c560
1588e4aa02
hex578d2c78

1468869752 has 64 divisors (see below), whose sum is σ = 3240268800. Its totient is φ = 611245440.

The previous prime is 1468869737. The next prime is 1468869757. The reversal of 1468869752 is 2579688641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468869757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267143 + ... + 272585.

It is an arithmetic number, because the mean of its divisors is an integer number (50629200).

Almost surely, 21468869752 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 1468869752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620134400).

1468869752 is an abundant number, since it is smaller than the sum of its proper divisors (1771399048).

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

1468869752 is a wasteful number, since it uses less digits than its factorization.

1468869752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5592 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 56.

The square root of 1468869752 is about 38325.8366118732. The cubic root of 1468869752 is about 1136.7398783072.

The spelling of 1468869752 in words is "one billion, four hundred sixty-eight million, eight hundred sixty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 61 79 122 158 244 316 427 488 553 632 854 1106 1708 2212 3416 4424 4819 5443 9638 10886 19276 21772 33733 38101 38552 43544 67466 76202 134932 152404 269864 304808 332023 429997 664046 859994 1328092 1719988 2324161 2656184 3009979 3439976 4648322 6019958 9296644 12039916 18593288 24079832 26229817 52459634 104919268 183608719 209838536 367217438 734434876 1468869752