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1252876816 = 2488492
BaseRepresentation
bin100101010101101…
…0110001000010000
310020022111201220001
41022223112020100
510031214024231
6324153255344
743022164042
oct11253261020
93208451801
101252876816
11593241994
122ab704554
1316c749139
14bc575a92
1574ed2b61
hex4aad6210

1252876816 has 15 divisors (see below), whose sum is σ = 2427723181. Its totient is φ = 626367616.

The previous prime is 1252876813. The next prime is 1252876831. The reversal of 1252876816 is 6186782521.

The square root of 1252876816 is 35396.

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

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 1250329600 = 1596^2 + 35360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1252876813) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 137160 + ... + 146008.

Almost surely, 21252876816 is an apocalyptic number.

1252876816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1252876816 is the 35396-th square number.

It is an amenable number.

1252876816 is a deficient number, since it is larger than the sum of its proper divisors (1174846365).

1252876816 is an frugal number, since it uses more digits than its factorization.

1252876816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17706 (or 8851 counting only the distinct ones).

The product of its digits is 322560, while the sum is 46.

The cubic root of 1252876816 is about 1078.0431001524.

The spelling of 1252876816 in words is "one billion, two hundred fifty-two million, eight hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 8849 17698 35396 70792 141584 78304801 156609602 313219204 626438408 1252876816