Search a number
-
+
5430452928 = 263195328087
BaseRepresentation
bin1010000111010111…
…00010001011000000
3112000110100120222020
411003223202023000
542110143443203
62254505241440
7251400042165
oct50353421300
915013316866
105430452928
11233739272a
121076793280
136870a3374
1439731206c
1521bb33153
hex143ae22c0

5430452928 has 112 divisors (see below), whose sum is σ = 15410200320. Its totient is φ = 1682463744.

The previous prime is 5430452899. The next prime is 5430452941. The reversal of 5430452928 is 8292540345.

It is a self number, because there is not a number n which added to its sum of digits gives 5430452928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179301 + ... + 207387.

Almost surely, 25430452928 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 5430452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705100160).

5430452928 is an abundant number, since it is smaller than the sum of its proper divisors (9979747392).

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

5430452928 is a wasteful number, since it uses less digits than its factorization.

5430452928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28174 (or 28164 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 5430452928 is about 73691.6069033645. The cubic root of 5430452928 is about 1757.7024220606.

The spelling of 5430452928 in words is "five billion, four hundred thirty million, four hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 152 159 192 212 228 304 318 424 456 608 636 848 912 1007 1216 1272 1696 1824 2014 2544 3021 3392 3648 4028 5088 6042 8056 10176 12084 16112 24168 28087 32224 48336 56174 64448 84261 96672 112348 168522 193344 224696 337044 449392 533653 674088 898784 1067306 1348176 1488611 1600959 1797568 2134612 2696352 2977222 3201918 4269224 4465833 5392704 5954444 6403836 8538448 8931666 11908888 12807672 17076896 17863332 23817776 25615344 28283609 34153792 35726664 47635552 51230688 56567218 71453328 84850827 95271104 102461376 113134436 142906656 169701654 226268872 285813312 339403308 452537744 678806616 905075488 1357613232 1810150976 2715226464 5430452928