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138402848 = 25172931283
BaseRepresentation
bin10000011111111…
…01110000100000
3100122102121000102
420033331300200
5240412342343
621422241532
73300255563
oct1017756040
9318377012
10138402848
1171141121
123a4262a8
132289b39c
141454a4da
15c23d3b8
hex83fdc20

138402848 has 96 divisors (see below), whose sum is σ = 309173760. Its totient is φ = 60641280.

The previous prime is 138402833. The next prime is 138402857. The reversal of 138402848 is 848204831.

It is a super-2 number, since 2×1384028482 = 38310696669022208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 488915 + ... + 489197.

It is an arithmetic number, because the mean of its divisors is an integer number (3220560).

Almost surely, 2138402848 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 138402848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154586880).

138402848 is an abundant number, since it is smaller than the sum of its proper divisors (170770912).

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

138402848 is a wasteful number, since it uses less digits than its factorization.

138402848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 138402848 is about 11764.4739788909. The cubic root of 138402848 is about 517.2672814549.

The spelling of 138402848 in words is "one hundred thirty-eight million, four hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 29 31 32 34 58 62 68 116 124 136 232 248 272 283 464 493 496 527 544 566 899 928 986 992 1054 1132 1798 1972 2108 2264 3596 3944 4216 4528 4811 7192 7888 8207 8432 8773 9056 9622 14384 15283 15776 16414 16864 17546 19244 28768 30566 32828 35092 38488 61132 65656 70184 76976 122264 131312 139519 140368 149141 153952 244528 254417 262624 279038 280736 298282 489056 508834 558076 596564 1017668 1116152 1193128 2035336 2232304 2386256 4070672 4325089 4464608 4772512 8141344 8650178 17300356 34600712 69201424 138402848