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133872648 = 23371361297
BaseRepresentation
bin1111111101010…
…11110000001000
3100022220102202020
413332223300020
5233232411043
621141204440
73213620160
oct776536010
9308812666
10133872648
1169627558
1238a00720
13219733b0
1413acb5a0
15bb45e83
hex7fabc08

133872648 has 64 divisors (see below), whose sum is σ = 411922560. Its totient is φ = 35306496.

The previous prime is 133872617. The next prime is 133872649. The reversal of 133872648 is 846278331.

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

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

It is not an unprimeable number, because it can be changed into a prime (133872649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28465 + ... + 32832.

It is an arithmetic number, because the mean of its divisors is an integer number (6436290).

Almost surely, 2133872648 is an apocalyptic number.

It is an amenable number.

133872648 is an abundant number, since it is smaller than the sum of its proper divisors (278049912).

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

133872648 is a wasteful number, since it uses less digits than its factorization.

133872648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61326 (or 61322 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 133872648 is about 11570.3348266159. The cubic root of 133872648 is about 511.5608314997.

The spelling of 133872648 in words is "one hundred thirty-three million, eight hundred seventy-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 61297 122594 183891 245188 367782 429079 490376 735564 796861 858158 1287237 1471128 1593722 1716316 2390583 2574474 3187444 3432632 4781166 5148948 5578027 6374888 9562332 10297896 11156054 16734081 19124664 22312108 33468162 44624216 66936324 133872648