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138648776 = 23719311419
BaseRepresentation
bin10000100001110…
…01110011001000
3100122220002100212
420100321303020
5240443230101
621431420252
73302331560
oct1020716310
9318802325
10138648776
1171299972
123a524688
13229562c6
14145b1da0
15c28b1bb
hex8439cc8

138648776 has 64 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 55978560.

The previous prime is 138648767. The next prime is 138648779. The reversal of 138648776 is 677846831.

It is not an unprimeable number, because it can be changed into a prime (138648779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330695 + ... + 331113.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2138648776 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 138648776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

138648776 is an abundant number, since it is smaller than the sum of its proper divisors (175847224).

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

138648776 is a wasteful number, since it uses less digits than its factorization.

138648776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 50.

The square root of 138648776 is about 11774.9214859378. The cubic root of 138648776 is about 517.5734775517.

The spelling of 138648776 in words is "one hundred thirty-eight million, six hundred forty-eight thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 311 419 532 622 838 1064 1244 1676 2177 2488 2933 3352 4354 5866 5909 7961 8708 11732 11818 15922 17416 23464 23636 31844 41363 47272 55727 63688 82726 111454 130309 165452 222908 260618 330904 445816 521236 912163 1042472 1824326 2475871 3648652 4951742 7297304 9903484 17331097 19806968 34662194 69324388 138648776