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1398345728 = 2121326261
BaseRepresentation
bin101001101011001…
…0001000000000000
310121110020022201112
41103112101000000
510330434030403
6350431222452
746436512463
oct12326210000
93543208645
101398345728
1165836992a
12330377a28
1319391c810
14d3a012da
1582b699d8
hex53591000

1398345728 has 52 divisors (see below), whose sum is σ = 3011568588. Its totient is φ = 645365760.

The previous prime is 1398345719. The next prime is 1398345749. The reversal of 1398345728 is 8275438931.

It can be written as a sum of positive squares in 2 ways, for example, as 76877824 + 1321467904 = 8768^2 + 36352^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40118 + ... + 66378.

Almost surely, 21398345728 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 1398345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505784294).

1398345728 is an abundant number, since it is smaller than the sum of its proper divisors (1613222860).

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

1398345728 is an equidigital number, since it uses as much as digits as its factorization.

1398345728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26298 (or 26276 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 50.

The square root of 1398345728 is about 37394.4611941394. The cubic root of 1398345728 is about 1118.2481456094.

The spelling of 1398345728 in words is "one billion, three hundred ninety-eight million, three hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 13312 26261 26624 52522 53248 105044 210088 341393 420176 682786 840352 1365572 1680704 2731144 3361408 5462288 6722816 10924576 13445632 21849152 26891264 43698304 53782528 87396608 107565056 174793216 349586432 699172864 1398345728