Search a number
-
+
138967048 = 2311331421
BaseRepresentation
bin10000100100001…
…11100000001000
3100200111020221201
420102013200020
5241033421143
621442313544
73305125513
oct1022074010
9320436851
10138967048
1171497000
123a6588b4
1322a3812c
1414655d7a
15c30064d
hex8487808

138967048 has 64 divisors (see below), whose sum is σ = 296547840. Its totient is φ = 60984000.

The previous prime is 138967039. The next prime is 138967051. The reversal of 138967048 is 840769831.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 138966989 and 138967007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329878 + ... + 330298.

It is an arithmetic number, because the mean of its divisors is an integer number (4633560).

Almost surely, 2138967048 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 138967048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148273920).

138967048 is an abundant number, since it is smaller than the sum of its proper divisors (157580792).

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

138967048 is a wasteful number, since it uses less digits than its factorization.

138967048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 138967048 is about 11788.4285636382. The cubic root of 138967048 is about 517.9692095213.

The spelling of 138967048 in words is "one hundred thirty-eight million, nine hundred sixty-seven thousand, forty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 421 484 682 842 968 1331 1364 1684 2662 2728 3368 3751 4631 5324 7502 9262 10648 13051 15004 18524 26102 30008 37048 41261 50941 52204 82522 101882 104408 143561 165044 203764 287122 330088 407528 560351 574244 1120702 1148488 1579171 2241404 3158342 4482808 6316684 12633368 17370881 34741762 69483524 138967048