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1325413044 = 223497181233
BaseRepresentation
bin100111100000000…
…0011001010110100
310102100222221220000
41033000003022310
510203301204134
6335304111300
744562552654
oct11700031264
93370887800
101325413044
1162018548a
1230ba65530
13181795197
14c8058364
157b55ee99
hex4f0032b4

1325413044 has 120 divisors (see below), whose sum is σ = 3535059528. Its totient is φ = 432967680.

The previous prime is 1325413043. The next prime is 1325413049. The reversal of 1325413044 is 4403145231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22924944 + 1302488100 = 4788^2 + 36090^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1325412999 and 1325413017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325413043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5688352 + ... + 5688584.

Almost surely, 21325413044 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 1325413044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767529764).

1325413044 is an abundant number, since it is smaller than the sum of its proper divisors (2209646484).

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

1325413044 is a wasteful number, since it uses less digits than its factorization.

1325413044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1325413044 is about 36406.2225999897. Note that the first 3 decimals coincide. The cubic root of 1325413044 is about 1098.4587351294.

Adding to 1325413044 its reverse (4403145231), we get a palindrome (5728558275).

The spelling of 1325413044 in words is "one billion, three hundred twenty-five million, four hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 181 194 233 291 324 362 388 466 543 582 699 724 873 932 1086 1164 1398 1629 1746 2097 2172 2619 2796 3258 3492 4194 4887 5238 6291 6516 7857 8388 9774 10476 12582 14661 15714 17557 18873 19548 22601 25164 29322 31428 35114 37746 42173 45202 52671 58644 67803 70228 75492 84346 90404 105342 126519 135606 158013 168692 203409 210684 253038 271212 316026 379557 406818 474039 506076 610227 632052 759114 813636 948078 1138671 1220454 1422117 1518228 1830681 1896156 2277342 2440908 2844234 3416013 3661362 4090781 4554684 5688468 6832026 7322724 8181562 12272343 13664052 16363124 24544686 36817029 49089372 73634058 110451087 147268116 220902174 331353261 441804348 662706522 1325413044