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138458208 = 2537206039
BaseRepresentation
bin10000100000010…
…11010001100000
3100122112101221210
420100023101200
5240421130313
621423350120
73300606150
oct1020132140
9318471853
10138458208
1171179779
123a452340
13228ba645
1414562760
15c24e9c3
hex840b460

138458208 has 48 divisors (see below), whose sum is σ = 415376640. Its totient is φ = 39559296.

The previous prime is 138458171. The next prime is 138458239. The reversal of 138458208 is 802854831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 102348 + ... + 103691.

It is an arithmetic number, because the mean of its divisors is an integer number (8653680).

Almost surely, 2138458208 is an apocalyptic number.

It is an amenable number.

138458208 is an abundant number, since it is smaller than the sum of its proper divisors (276918432).

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

138458208 is a wasteful number, since it uses less digits than its factorization.

138458208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206059 (or 206051 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 138458208 is about 11766.8265900369. The cubic root of 138458208 is about 517.3362398131.

The spelling of 138458208 in words is "one hundred thirty-eight million, four hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 206039 412078 618117 824156 1236234 1442273 1648312 2472468 2884546 3296624 4326819 4944936 5769092 6593248 8653638 9889872 11538184 17307276 19779744 23076368 34614552 46152736 69229104 138458208