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1252540328 = 2313611791103
BaseRepresentation
bin100101010101000…
…0011111110101000
310020021212122022112
41022222003332220
510031122242303
6324142141452
743016263034
oct11252037650
93207778275
101252540328
115930320a6
122ab581888
1316c65bc30
14bc4c91c4
1574e680d8
hex4aa83fa8

1252540328 has 64 divisors (see below), whose sum is σ = 2587334400. Its totient is φ = 564929280.

The previous prime is 1252540327. The next prime is 1252540357. The reversal of 1252540328 is 8230452521.

It is a junction number, because it is equal to n+sod(n) for n = 1252540294 and 1252540303.

It is not an unprimeable number, because it can be changed into a prime (1252540321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135025 + ... + 1136127.

It is an arithmetic number, because the mean of its divisors is an integer number (40427100).

Almost surely, 21252540328 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 1252540328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293667200).

1252540328 is an abundant number, since it is smaller than the sum of its proper divisors (1334794072).

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

1252540328 is a wasteful number, since it uses less digits than its factorization.

1252540328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 1252540328 is about 35391.2464883621. The cubic root of 1252540328 is about 1077.9465806750.

Adding to 1252540328 its reverse (8230452521), we get a palindrome (9482992849).

The spelling of 1252540328 in words is "one billion, two hundred fifty-two million, five hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 61 104 122 179 244 358 488 716 793 1103 1432 1586 2206 2327 3172 4412 4654 6344 8824 9308 10919 14339 18616 21838 28678 43676 57356 67283 87352 114712 134566 141947 197437 269132 283894 394874 538264 567788 789748 874679 1135576 1579496 1749358 2566681 3498716 5133362 6997432 10266724 12043657 20533448 24087314 48174628 96349256 156567541 313135082 626270164 1252540328