Search a number
-
+
469772140 = 225311913967
BaseRepresentation
bin11100000000000…
…010011101101100
31012201221220020011
4130000002131230
51430230202030
6114340503004
714432666035
oct3400023554
91181856204
10469772140
112211a0842
121113aaa64
13764304a6
1446567a8c
152b396b2a
hex1c00276c

469772140 has 48 divisors (see below), whose sum is σ = 1023934464. Its totient is φ = 180849600.

The previous prime is 469772123. The next prime is 469772141. The reversal of 469772140 is 41277964.

It is a junction number, because it is equal to n+sod(n) for n = 469772093 and 469772102.

It is not an unprimeable number, because it can be changed into a prime (469772141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116437 + ... + 120403.

It is an arithmetic number, because the mean of its divisors is an integer number (21331968).

Almost surely, 2469772140 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 469772140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511967232).

469772140 is an abundant number, since it is smaller than the sum of its proper divisors (554162324).

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

469772140 is a wasteful number, since it uses less digits than its factorization.

469772140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 469772140 is about 21674.2275525565. The cubic root of 469772140 is about 777.3723435400.

The spelling of 469772140 in words is "four hundred sixty-nine million, seven hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 191 310 382 620 764 955 1910 3820 3967 5921 7934 11842 15868 19835 23684 29605 39670 59210 79340 118420 122977 245954 491908 614885 757697 1229770 1515394 2459540 3030788 3788485 7576970 15153940 23488607 46977214 93954428 117443035 234886070 469772140