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138954948 = 223112831153
BaseRepresentation
bin10000100100001…
…00100011000100
3100200110122100120
420102010203010
5241033024243
621442141540
73305045316
oct1022044304
9320418316
10138954948
1171488a00
123a6518b0
1322a32782
14146517b6
15c2ebc83
hex84848c4

138954948 has 72 divisors (see below), whose sum is σ = 360989664. Its totient is φ = 41564160.

The previous prime is 138954941. The next prime is 138954953. The reversal of 138954948 is 849459831.

It is a self number, because there is not a number n which added to its sum of digits gives 138954948.

It is not an unprimeable number, because it can be changed into a prime (138954941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119940 + ... + 121092.

Almost surely, 2138954948 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 138954948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180494832).

138954948 is an abundant number, since it is smaller than the sum of its proper divisors (222034716).

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

138954948 is a wasteful number, since it uses less digits than its factorization.

138954948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1252 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 138954948 is about 11787.9153373275. The cubic root of 138954948 is about 517.9541757190.

The spelling of 138954948 in words is "one hundred thirty-eight million, nine hundred fifty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 121 132 166 242 249 332 363 484 498 726 913 996 1153 1452 1826 2306 2739 3459 3652 4612 5478 6918 10043 10956 12683 13836 20086 25366 30129 38049 40172 50732 60258 76098 95699 120516 139513 152196 191398 279026 287097 382796 418539 558052 574194 837078 1052689 1148388 1674156 2105378 3158067 4210756 6316134 11579579 12632268 23159158 34738737 46318316 69477474 138954948