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38124948 = 22317375051
BaseRepresentation
bin1001000101101…
…1110110010100
32122201221121010
42101123312110
534224444243
63441052220
7642025311
oct221336624
978657533
1038124948
111a57a924
1210927070
137b8b254
1450c5d08
153531433
hex245bd94

38124948 has 48 divisors (see below), whose sum is σ = 96755904. Its totient is φ = 11635200.

The previous prime is 38124923. The next prime is 38124949. The reversal of 38124948 is 84942183.

38124948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38124949) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5023 + ... + 10073.

It is an arithmetic number, because the mean of its divisors is an integer number (2015748).

Almost surely, 238124948 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 38124948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48377952).

38124948 is an abundant number, since it is smaller than the sum of its proper divisors (58630956).

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

38124948 is a wasteful number, since it uses less digits than its factorization.

38124948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5110 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 38124948 is about 6174.5403067759. The cubic root of 38124948 is about 336.5656218453.

The spelling of 38124948 in words is "thirty-eight million, one hundred twenty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 3774 5051 7548 10102 15153 20204 30306 60612 85867 171734 186887 257601 343468 373774 515202 560661 747548 1030404 1121322 2242644 3177079 6354158 9531237 12708316 19062474 38124948