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1354654848 = 27311331219
BaseRepresentation
bin101000010111110…
…0110010010000000
310111102000121002210
41100233212102000
510233242423343
6342230542120
745366243021
oct12057462200
93442017083
101354654848
11635738268
12319807940
13187863021
14cbcaac48
157ddd9333
hex50be6480

1354654848 has 64 divisors (see below), whose sum is σ = 3630261600. Its totient is φ = 447541248.

The previous prime is 1354654831. The next prime is 1354654853. The reversal of 1354654848 is 8484564531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1354654797 and 1354654806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27783 + ... + 59001.

Almost surely, 21354654848 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 1354654848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815130800).

1354654848 is an abundant number, since it is smaller than the sum of its proper divisors (2275606752).

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

1354654848 is a wasteful number, since it uses less digits than its factorization.

1354654848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31349 (or 31337 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The square root of 1354654848 is about 36805.6360901425. The cubic root of 1354654848 is about 1106.4782595665.

The spelling of 1354654848 in words is "one billion, three hundred fifty-four million, six hundred fifty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1356 1808 2712 3616 5424 7232 10848 14464 21696 31219 43392 62438 93657 124876 187314 249752 374628 499504 749256 999008 1498512 1998016 2997024 3527747 3996032 5994048 7055494 10583241 11988096 14110988 21166482 28221976 42332964 56443952 84665928 112887904 169331856 225775808 338663712 451551616 677327424 1354654848