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1383402496 = 2107279349
BaseRepresentation
bin101001001110101…
…0000110000000000
310120102010010110111
41102131100300000
510313122334441
6345135041104
746165504300
oct12235206000
93512103414
101383402496
1164a992853
12327370194
131907b9c78
14d1a31600
15816b7081
hex52750c00

1383402496 has 132 divisors (see below), whose sum is σ = 3267012000. Its totient is φ = 583704576.

The previous prime is 1383402451. The next prime is 1383402499. The reversal of 1383402496 is 6942043831.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1383402499) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3963730 + ... + 3964078.

Almost surely, 21383402496 is an apocalyptic number.

1383402496 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 1383402496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633506000).

1383402496 is an abundant number, since it is smaller than the sum of its proper divisors (1883609504).

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

1383402496 is an equidigital number, since it uses as much as digits as its factorization.

1383402496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 1383402496 is about 37194.1191050413. The cubic root of 1383402496 is about 1114.2505359171.

The spelling of 1383402496 in words is "one billion, three hundred eighty-three million, four hundred two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 128 158 196 224 256 316 349 392 448 512 553 632 698 784 896 1024 1106 1264 1396 1568 1792 2212 2443 2528 2792 3136 3584 3871 4424 4886 5056 5584 6272 7168 7742 8848 9772 10112 11168 12544 15484 17101 17696 19544 20224 22336 25088 27571 30968 34202 35392 39088 40448 44672 50176 55142 61936 68404 70784 78176 80896 89344 110284 123872 136808 141568 156352 178688 192997 220568 247744 273616 283136 312704 357376 385994 441136 495488 547232 566272 625408 771988 882272 990976 1094464 1250816 1350979 1543976 1764544 1981952 2188928 2501632 2701958 3087952 3529088 3963904 4377856 5403916 6175904 7058176 8755712 10807832 12351808 14116352 17511424 21615664 24703616 28232704 43231328 49407232 86462656 98814464 172925312 197628928 345850624 691701248 1383402496