Search a number
-
+
1429557052 = 2271124119259
BaseRepresentation
bin101010100110101…
…0100111100111100
310200121222000121111
41111031110330330
510411431311202
6353504211404
750266014550
oct12515247474
93617860544
101429557052
11673a47410
1233a909b64
1319a229c61
14d7c07860
15857826d7
hex55354f3c

1429557052 has 48 divisors (see below), whose sum is σ = 3132138240. Its totient is φ = 554630400.

The previous prime is 1429557023. The next prime is 1429557053. The reversal of 1429557052 is 2507559241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1429556996 and 1429557014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429557053) 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 15 ways as a sum of consecutive naturals, for example, 64599 + ... + 83857.

It is an arithmetic number, because the mean of its divisors is an integer number (65252880).

Almost surely, 21429557052 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 1429557052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566069120).

1429557052 is an abundant number, since it is smaller than the sum of its proper divisors (1702581188).

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

1429557052 is a wasteful number, since it uses less digits than its factorization.

1429557052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19522 (or 19520 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The square root of 1429557052 is about 37809.4836251436. The cubic root of 1429557052 is about 1126.5068340349.

The spelling of 1429557052 in words is "one billion, four hundred twenty-nine million, five hundred fifty-seven thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 241 308 482 964 1687 2651 3374 5302 6748 10604 18557 19259 37114 38518 74228 77036 134813 211849 269626 423698 539252 847396 1482943 2965886 4641419 5931772 9282838 18565676 32489933 51055609 64979866 102111218 129959732 204222436 357389263 714778526 1429557052