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138102448 = 24112692917
BaseRepresentation
bin10000011101101…
…00011010110000
3100121212022221111
420032310122300
5240323234243
621412003104
73264565021
oct1016643260
9317768844
10138102448
1170a56460
123a300494
13227c4733
14144acc48
15c1ce39d
hex83b46b0

138102448 has 40 divisors (see below), whose sum is σ = 293083920. Its totient is φ = 62519040.

The previous prime is 138102443. The next prime is 138102479. The reversal of 138102448 is 844201831.

It is a super-2 number, since 2×1381024482 = 38144572287185408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138102443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45886 + ... + 48802.

It is an arithmetic number, because the mean of its divisors is an integer number (7327098).

Almost surely, 2138102448 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 138102448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146541960).

138102448 is an abundant number, since it is smaller than the sum of its proper divisors (154981472).

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

138102448 is a wasteful number, since it uses less digits than its factorization.

138102448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 138102448 is about 11751.6997919450. The cubic root of 138102448 is about 516.8927717040.

The spelling of 138102448 in words is "one hundred thirty-eight million, one hundred two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 269 538 1076 2152 2917 2959 4304 5834 5918 11668 11836 23336 23672 32087 46672 47344 64174 128348 256696 513392 784673 1569346 3138692 6277384 8631403 12554768 17262806 34525612 69051224 138102448