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138958404 = 223132333823
BaseRepresentation
bin10000100100001…
…01011001000100
3100200110211002120
420102011121010
5241033132104
621442205540
73305061354
oct1022053104
9320424076
10138958404
1171490562
123a6538b0
1322a34210
1414652b64
15c2eccd9
hex8485644

138958404 has 48 divisors (see below), whose sum is σ = 350767872. Its totient is φ = 42561792.

The previous prime is 138958403. The next prime is 138958409. The reversal of 138958404 is 404859831.

It is not an unprimeable number, because it can be changed into a prime (138958403) 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, 34437 + ... + 38259.

It is an arithmetic number, because the mean of its divisors is an integer number (7307664).

Almost surely, 2138958404 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 138958404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175383936).

138958404 is an abundant number, since it is smaller than the sum of its proper divisors (211809468).

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

138958404 is a wasteful number, since it uses less digits than its factorization.

138958404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 138958404 is about 11788.0619272211. The cubic root of 138958404 is about 517.9584697602.

The spelling of 138958404 in words is "one hundred thirty-eight million, nine hundred fifty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 233 466 699 932 1398 2796 3029 3823 6058 7646 9087 11469 12116 15292 18174 22938 36348 45876 49699 99398 149097 198796 298194 596388 890759 1781518 2672277 3563036 5344554 10689108 11579867 23159734 34739601 46319468 69479202 138958404