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48156138 = 23217241653
BaseRepresentation
bin1011011110110…
…0110111101010
310100121120210200
42313230313222
544311444023
64440053030
71123214622
oct267546752
9110546720
1048156138
1125201468
1214164176
139c91074
146577882
154363743
hex2decdea

48156138 has 48 divisors (see below), whose sum is σ = 111104136. Its totient is φ = 15022080.

The previous prime is 48156137. The next prime is 48156149. The reversal of 48156138 is 83165184.

It can be written as a sum of positive squares in 4 ways, for example, as 45118089 + 3038049 = 6717^2 + 1743^2 .

It is not an unprimeable number, because it can be changed into a prime (48156131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73420 + ... + 74072.

Almost surely, 248156138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48156138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55552068).

48156138 is an abundant number, since it is smaller than the sum of its proper divisors (62947998).

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

48156138 is a wasteful number, since it uses less digits than its factorization.

48156138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 916 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 48156138 is about 6939.4623711063. The cubic root of 48156138 is about 363.8177498066.

The spelling of 48156138 in words is "forty-eight million, one hundred fifty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 241 306 482 653 723 1306 1446 1959 2169 3918 4097 4338 5877 8194 11101 11754 12291 22202 24582 33303 36873 66606 73746 99909 157373 199818 314746 472119 944238 1416357 2675341 2832714 5350682 8026023 16052046 24078069 48156138