Search a number
-
+
1451386496 = 2778631877
BaseRepresentation
bin101011010000010…
…0110011010000000
310202011001001222102
41112200212122000
510433023331441
6400004125532
750652403340
oct12640463200
93664031872
101451386496
116852a717a
123460968a8
131a1900ca1
14daa8ad20
158764569b
hex56826680

1451386496 has 64 divisors (see below), whose sum is σ = 3310087680. Its totient is φ = 620971008.

The previous prime is 1451386483. The next prime is 1451386507. The reversal of 1451386496 is 6946831541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1451386496.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 772310 + ... + 774186.

It is an arithmetic number, because the mean of its divisors is an integer number (51720120).

Almost surely, 21451386496 is an apocalyptic number.

1451386496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1451386496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655043840).

1451386496 is an abundant number, since it is smaller than the sum of its proper divisors (1858701184).

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

1451386496 is an equidigital number, since it uses as much as digits as its factorization.

1451386496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2749 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The square root of 1451386496 is about 38097.0667637287. The cubic root of 1451386496 is about 1132.2118413029.

The spelling of 1451386496 in words is "one billion, four hundred fifty-one million, three hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 863 896 1726 1877 3452 3754 6041 6904 7508 12082 13139 13808 15016 24164 26278 27616 30032 48328 52556 55232 60064 96656 105112 110464 120128 193312 210224 240256 386624 420448 773248 840896 1619851 1681792 3239702 6479404 11338957 12958808 22677914 25917616 45355828 51835232 90711656 103670464 181423312 207340928 362846624 725693248 1451386496