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135546848 = 25171012467
BaseRepresentation
bin10000001010001…
…00011111100000
3100110001111022122
420011010133200
5234144444343
621241123412
73234062213
oct1005043740
9313044278
10135546848
116a570398
1239489568
132210b448
141400577a
15bd77068
hex81447e0

135546848 has 48 divisors (see below), whose sum is σ = 285468624. Its totient is φ = 63129600.

The previous prime is 135546847. The next prime is 135546869. The reversal of 135546848 is 848645531.

It is a junction number, because it is equal to n+sod(n) for n = 135546799 and 135546808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135546847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53711 + ... + 56177.

It is an arithmetic number, because the mean of its divisors is an integer number (5947263).

Almost surely, 2135546848 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 135546848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142734312).

135546848 is an abundant number, since it is smaller than the sum of its proper divisors (149921776).

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

135546848 is a wasteful number, since it uses less digits than its factorization.

135546848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2587 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The square root of 135546848 is about 11642.4588468244. The cubic root of 135546848 is about 513.6845152275.

It can be divided in two parts, 13554 and 6848, that added together give a palindrome (20402).

The spelling of 135546848 in words is "one hundred thirty-five million, five hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 272 404 544 808 1616 1717 2467 3232 3434 4934 6868 9868 13736 19736 27472 39472 41939 54944 78944 83878 167756 249167 335512 498334 671024 996668 1342048 1993336 3986672 4235839 7973344 8471678 16943356 33886712 67773424 135546848