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38900048 = 2411271283
BaseRepresentation
bin1001010001100…
…1000101010000
32201012022211112
42110121011100
534424300143
63505432452
7651434135
oct224310520
981168745
1038900048
111aa5a200
121103b728
13809cca5
14524858c
153635e18
hex2519150

38900048 has 60 divisors (see below), whose sum is σ = 84307104. Its totient is φ = 17371200.

The previous prime is 38900041. The next prime is 38900053. The reversal of 38900048 is 84000983.

It is a junction number, because it is equal to n+sod(n) for n = 38899987 and 38900023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38900041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137315 + ... + 137597.

Almost surely, 238900048 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 38900048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42153552).

38900048 is an abundant number, since it is smaller than the sum of its proper divisors (45407056).

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

38900048 is a wasteful number, since it uses less digits than its factorization.

With its successor (38900049) it forms an eRAP, since the sums of their prime factors are consecutive (384 and 385).

38900048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 38900048 is about 6236.9902998161. The cubic root of 38900048 is about 338.8311884483.

The spelling of 38900048 in words is "thirty-eight million, nine hundred thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 44 71 88 121 142 176 242 283 284 484 566 568 781 968 1132 1136 1562 1936 2264 3113 3124 4528 6226 6248 8591 12452 12496 17182 20093 24904 34243 34364 40186 49808 68486 68728 80372 136972 137456 160744 221023 273944 321488 442046 547888 884092 1768184 2431253 3536368 4862506 9725012 19450024 38900048