Search a number
-
+
1393448016 = 243315317669
BaseRepresentation
bin101001100001110…
…0101010001010000
310121010000111022210
41103003211101100
510323210314031
6350134232120
746350053442
oct12303452120
93533014283
101393448016
11655624134
1232a7b5640
131928c646c
14d30c8492
15824ed746
hex530e5450

1393448016 has 80 divisors (see below), whose sum is σ = 3786186240. Its totient is φ = 440993280.

The previous prime is 1393448003. The next prime is 1393448029. The reversal of 1393448016 is 6108443931.

It is an interprime number because it is at equal distance from previous prime (1393448003) and next prime (1393448029).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70030 + ... + 87698.

It is an arithmetic number, because the mean of its divisors is an integer number (47327328).

Almost surely, 21393448016 is an apocalyptic number.

1393448016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1393448016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893093120).

1393448016 is an abundant number, since it is smaller than the sum of its proper divisors (2392738224).

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

1393448016 is a wasteful number, since it uses less digits than its factorization.

1393448016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17764 (or 17758 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1393448016 is about 37328.9166196931. The cubic root of 1393448016 is about 1116.9410620649.

The spelling of 1393448016 in words is "one billion, three hundred ninety-three million, four hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 53 62 93 106 124 159 186 212 248 318 372 424 496 636 744 848 1272 1488 1643 2544 3286 4929 6572 9858 13144 17669 19716 26288 35338 39432 53007 70676 78864 106014 141352 212028 282704 424056 547739 848112 936457 1095478 1643217 1872914 2190956 2809371 3286434 3745828 4381912 5618742 6572868 7491656 8763824 11237484 13145736 14983312 22474968 26291472 29030167 44949936 58060334 87090501 116120668 174181002 232241336 348362004 464482672 696724008 1393448016