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138952436 = 22724316487
BaseRepresentation
bin10000100100000…
…11111011110100
3100200110111220112
420102003323310
5241032434221
621442122152
73305035100
oct1022037364
9320414815
10138952436
1171487027
123a650358
1322a3159c
1414650900
15c2eb15b
hex8483ef4

138952436 has 36 divisors (see below), whose sum is σ = 289463328. Its totient is φ = 58162608.

The previous prime is 138952409. The next prime is 138952477. The reversal of 138952436 is 634259831.

It is a junction number, because it is equal to n+sod(n) for n = 138952393 and 138952402.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 185 + ... + 16671.

It is an arithmetic number, because the mean of its divisors is an integer number (8040648).

Almost surely, 2138952436 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 138952436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144731664).

138952436 is an abundant number, since it is smaller than the sum of its proper divisors (150510892).

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

138952436 is a wasteful number, since it uses less digits than its factorization.

138952436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16548 (or 16539 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 138952436 is about 11787.8087870477. The cubic root of 138952436 is about 517.9510545426.

The spelling of 138952436 in words is "one hundred thirty-eight million, nine hundred fifty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 1204 2107 4214 8428 16487 32974 65948 115409 230818 461636 708941 807863 1417882 1615726 2835764 3231452 4962587 9925174 19850348 34738109 69476218 138952436