Search a number
-
+
1202404242 = 231321517853
BaseRepresentation
bin100011110101011…
…0011101110010010
310002210112110112110
41013222303232102
54430303413432
6315151410150
741540160504
oct10752635622
93083473473
101202404242
115677a9116
12296823956
13162156900
14b5997d74
1570862dcc
hex47ab3b92

1202404242 has 48 divisors (see below), whose sum is σ = 2621602368. Its totient is φ = 367473600.

The previous prime is 1202404199. The next prime is 1202404277. The reversal of 1202404242 is 2424042021.

It is a super-2 number, since 2×12024042422 = 2891551922359189128, which contains 22 as substring.

It is an unprimeable number.

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, 149188 + ... + 157040.

It is an arithmetic number, because the mean of its divisors is an integer number (54616716).

Almost surely, 21202404242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202404242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310801184).

1202404242 is an abundant number, since it is smaller than the sum of its proper divisors (1419198126).

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

1202404242 is a wasteful number, since it uses less digits than its factorization.

1202404242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8035 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1202404242 is about 34675.7010311255. The cubic root of 1202404242 is about 1063.3677869579.

Adding to 1202404242 its reverse (2424042021), we get a palindrome (3626446263).

The spelling of 1202404242 in words is "one billion, two hundred two million, four hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 151 169 302 338 453 507 906 1014 1963 3926 5889 7853 11778 15706 23559 25519 47118 51038 76557 102089 153114 204178 306267 612534 1185803 1327157 2371606 2654314 3557409 3981471 7114818 7962942 15415439 30830878 46246317 92492634 200400707 400801414 601202121 1202404242