Search a number
-
+
138952288 = 2517733499
BaseRepresentation
bin10000100100000…
…11111001100000
3100200110111201001
420102003321200
5241032433123
621442121344
73305034466
oct1022037140
9320414631
10138952288
1171486a02
123a650254
1322a314b7
1414650836
15c2eb0ad
hex8483e60

138952288 has 48 divisors (see below), whose sum is σ = 293706000. Its totient is φ = 64475136.

The previous prime is 138952277. The next prime is 138952337. The reversal of 138952288 is 882259831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37963 + ... + 41461.

It is an arithmetic number, because the mean of its divisors is an integer number (6118875).

Almost surely, 2138952288 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 138952288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146853000).

138952288 is an abundant number, since it is smaller than the sum of its proper divisors (154753712).

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

138952288 is a wasteful number, since it uses less digits than its factorization.

138952288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3591 counting only the distinct ones).

The product of its digits is 276480, while the sum is 46.

The square root of 138952288 is about 11787.8025093738. The cubic root of 138952288 is about 517.9508706505.

The spelling of 138952288 in words is "one hundred thirty-eight million, nine hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 272 292 544 584 1168 1241 2336 2482 3499 4964 6998 9928 13996 19856 27992 39712 55984 59483 111968 118966 237932 255427 475864 510854 951728 1021708 1903456 2043416 4086832 4342259 8173664 8684518 17369036 34738072 69476144 138952288