Search a number
-
+
1025408484 = 22365932
BaseRepresentation
bin111101000111100…
…111110111100100
32122110111011000000
4331013213313210
54100001032414
6245430021300
734260554052
oct7507476744
92573434000
101025408484
114868a8631
122474a7830
131345952a9
149a2831d2
156004eb09
hex3d1e7de4

1025408484 has 63 divisors (see below), whose sum is σ = 2695011193. Its totient is φ = 341226432.

The previous prime is 1025408429. The next prime is 1025408497. The reversal of 1025408484 is 4848045201.

The square root of 1025408484 is 32022.

It is a perfect power (a square), and thus also a powerful number.

1025408484 is a `hidden beast` number, since 102 + 540 + 8 + 4 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 630512100 + 394896384 = 25110^2 + 19872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1728892 + ... + 1729484.

Almost surely, 21025408484 is an apocalyptic number.

1025408484 is the 32022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025408484

1025408484 is an abundant number, since it is smaller than the sum of its proper divisors (1669602709).

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

1025408484 is an frugal number, since it uses more digits than its factorization.

1025408484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The cubic root of 1025408484 is about 1008.3987580495.

Multiplying 1025408484 by its sum of digits (36), we get a square (36914705424 = 1921322).

1025408484 divided by its sum of digits (36) gives a square (28483569 = 53372).

The spelling of 1025408484 in words is "one billion, twenty-five million, four hundred eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 593 729 972 1186 1458 1779 2372 2916 3558 5337 7116 10674 16011 21348 32022 48033 64044 96066 144099 192132 288198 351649 432297 576396 703298 864594 1054947 1406596 1729188 2109894 3164841 4219788 6329682 9494523 12659364 18989046 28483569 37978092 56967138 85450707 113934276 170901414 256352121 341802828 512704242 1025408484