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1398460816 = 2493492
BaseRepresentation
bin101001101011010…
…1101000110010000
310121110110011121001
41103112231012100
510331001221231
6350433511344
746440502144
oct12326550620
93543404531
101398460816
11658438345
12330412554
1319396000c
14d3a31224
1582b8db61
hex535ad190

1398460816 has 15 divisors (see below), whose sum is σ = 2709807681. Its totient is φ = 699155616.

The previous prime is 1398460813. The next prime is 1398460831. The reversal of 1398460816 is 6180648931.

The square root of 1398460816 is 37396.

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., 1211318416 + 187142400 = 34804^2 + 13680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1398460813) 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, 144910 + ... + 154258.

Almost surely, 21398460816 is an apocalyptic number.

1398460816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1398460816 is the 37396-th square number.

It is an amenable number.

1398460816 is a deficient number, since it is larger than the sum of its proper divisors (1311346865).

1398460816 is an frugal number, since it uses more digits than its factorization.

1398460816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18706 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The cubic root of 1398460816 is about 1118.2788231472.

The spelling of 1398460816 in words is "one billion, three hundred ninety-eight million, four hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 9349 18698 37396 74792 149584 87403801 174807602 349615204 699230408 1398460816