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135649248 = 2537228837
BaseRepresentation
bin10000001010111…
…01011111100000
3100110020200210020
420011131133200
5234211233443
621243233440
73234666600
oct1005353740
9313220706
10135649248
116a630319
1239518880
1322145c37
1414030c00
15bd97583
hex815d7e0

135649248 has 72 divisors (see below), whose sum is σ = 414229032. Its totient is φ = 38755584.

The previous prime is 135649237. The next prime is 135649253. The reversal of 135649248 is 842946531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9715 + ... + 19122.

It is an arithmetic number, because the mean of its divisors is an integer number (5753181).

Almost surely, 2135649248 is an apocalyptic number.

It is an amenable number.

135649248 is an abundant number, since it is smaller than the sum of its proper divisors (278579784).

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

135649248 is a wasteful number, since it uses less digits than its factorization.

135649248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28864 (or 28849 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 135649248 is about 11646.8557130240. The cubic root of 135649248 is about 513.8138384213.

The spelling of 135649248 in words is "one hundred thirty-five million, six hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 28837 57674 86511 115348 173022 201859 230696 346044 403718 461392 605577 692088 807436 922784 1211154 1384176 1413013 1614872 2422308 2768352 2826026 3229744 4239039 4844616 5652052 6459488 8478078 9689232 11304104 16956156 19378464 22608208 33912312 45216416 67824624 135649248