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1395469712 = 247133143719
BaseRepresentation
bin101001100101101…
…0010110110010000
310121020211012120102
41103023102312100
510324220012322
6350245431532
746403203550
oct12313226620
93536735512
101395469712
1165678505a
1232b40b5a8
13193153730
14d3493160
158279c792
hex532d2d90

1395469712 has 160 divisors (see below), whose sum is σ = 3519774720. Its totient is φ = 521095680.

The previous prime is 1395469661. The next prime is 1395469729. The reversal of 1395469712 is 2179645931.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1940489 + ... + 1941207.

It is an arithmetic number, because the mean of its divisors is an integer number (21998592).

Almost surely, 21395469712 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 1395469712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759887360).

1395469712 is an abundant number, since it is smaller than the sum of its proper divisors (2124305008).

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

1395469712 is a wasteful number, since it uses less digits than its factorization.

1395469712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 815 counting only the distinct ones).

The product of its digits is 408240, while the sum is 47.

The square root of 1395469712 is about 37355.9862940332. The cubic root of 1395469712 is about 1117.4809755414.

The spelling of 1395469712 in words is "one billion, three hundred ninety-five million, four hundred sixty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 43 52 56 62 86 91 104 112 124 172 182 208 217 248 301 344 364 403 434 496 559 602 688 719 728 806 868 1118 1204 1333 1438 1456 1612 1736 2236 2408 2666 2821 2876 3224 3472 3913 4472 4816 5033 5332 5642 5752 6448 7826 8944 9331 9347 10066 10664 11284 11504 15652 17329 18662 18694 20132 21328 22289 22568 30917 31304 34658 37324 37388 40264 44578 45136 61834 62608 65429 69316 74648 74776 80528 89156 121303 123668 130858 138632 149296 149552 156023 178312 216419 242606 247336 261716 277264 289757 312046 356624 401921 432838 485212 494672 523432 579514 624092 803842 865676 958427 970424 1046864 1159028 1248184 1607684 1731352 1916854 1940848 2028299 2318056 2496368 2813447 3215368 3462704 3833708 4056598 4636112 5626894 6430736 6708989 7667416 8113196 11253788 12459551 13417978 15334832 16226392 22507576 24919102 26835956 32452784 45015152 49838204 53671912 87216857 99676408 107343824 174433714 199352816 348867428 697734856 1395469712