Search a number
-
+
1424628064 = 253171113179
BaseRepresentation
bin101010011101010…
…0001100101100000
310200021200121022101
41110322201211200
510404201044224
6353210420144
750206065406
oct12472414540
93607617271
101424628064
11671190172
12339131654
131991c25b2
14d72c3476
158510c044
hex54ea1960

1424628064 has 96 divisors (see below), whose sum is σ = 2978519040. Its totient is φ = 669849600.

The previous prime is 1424628047. The next prime is 1424628109. The reversal of 1424628064 is 4608264241.

It is a happy number.

It is a congruent number.

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, 7958727 + ... + 7958905.

It is an arithmetic number, because the mean of its divisors is an integer number (31026240).

Almost surely, 21424628064 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 1424628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489259520).

1424628064 is an abundant number, since it is smaller than the sum of its proper divisors (1553890976).

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

1424628064 is a wasteful number, since it uses less digits than its factorization.

1424628064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 1424628064 is about 37744.2454421863. The cubic root of 1424628064 is about 1125.2106440793.

The spelling of 1424628064 in words is "one billion, four hundred twenty-four million, six hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 71 113 124 142 179 226 248 284 358 452 496 568 716 904 992 1136 1432 1808 2201 2272 2864 3503 3616 4402 5549 5728 7006 8023 8804 11098 12709 14012 16046 17608 20227 22196 25418 28024 32092 35216 40454 44392 50836 56048 64184 70432 80908 88784 101672 112096 128368 161816 177568 203344 248713 256736 323632 393979 406688 497426 627037 647264 787958 994852 1254074 1436117 1575916 1989704 2508148 2872234 3151832 3979408 5016296 5744468 6303664 7958816 10032592 11488936 12607328 20065184 22977872 44519627 45955744 89039254 178078508 356157016 712314032 1424628064