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1349899488 = 253276611013
BaseRepresentation
bin101000001110101…
…1101010011100000
310111002001222222100
41100131131103200
510231033240423
6341541010400
745310646010
oct12035352340
93432058870
101349899488
11632a8a513
123180b3a00
131868896c2
14cb3cdc40
157d79a343
hex5075d4e0

1349899488 has 144 divisors (see below), whose sum is σ = 4398147936. Its totient is φ = 384721920.

The previous prime is 1349899487. The next prime is 1349899493. The reversal of 1349899488 is 8849989431.

1349899488 is a `hidden beast` number, since 13 + 498 + 99 + 48 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349899483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332070 + ... + 1333082.

It is an arithmetic number, because the mean of its divisors is an integer number (30542694).

Almost surely, 21349899488 is an apocalyptic number.

1349899488 is a gapful number since it is divisible by the number (18) 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 1349899488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199073968).

1349899488 is an abundant number, since it is smaller than the sum of its proper divisors (3048248448).

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

1349899488 is a wasteful number, since it uses less digits than its factorization.

1349899488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1686 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The square root of 1349899488 is about 36740.9783212151. The cubic root of 1349899488 is about 1105.1820200688.

The spelling of 1349899488 in words is "one billion, three hundred forty-nine million, eight hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 661 672 1008 1013 1322 1983 2016 2026 2644 3039 3966 4052 4627 5288 5949 6078 7091 7932 8104 9117 9254 10576 11898 12156 13881 14182 15864 16208 18234 18508 21152 21273 23796 24312 27762 28364 31728 32416 36468 37016 41643 42546 47592 48624 55524 56728 63456 63819 72936 74032 83286 85092 95184 97248 111048 113456 127638 145872 148064 166572 170184 190368 222096 226912 255276 291744 333144 340368 444192 510552 666288 669593 680736 1021104 1332576 1339186 2008779 2042208 2678372 4017558 4687151 5356744 6026337 8035116 9374302 10713488 12052674 14061453 16070232 18748604 21426976 24105348 28122906 32140464 37497208 42184359 48210696 56245812 64280928 74994416 84368718 96421392 112491624 149988832 168737436 192842784 224983248 337474872 449966496 674949744 1349899488