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38402048 = 211171103
BaseRepresentation
bin1001001001111…
…1100000000000
32200021000201002
42102133200000
534312331143
63451031132
7644261216
oct222374000
980230632
1038402048
111a74a033
1210a3b4a8
137c57409
145158cb6
1535885b8
hex249f800

38402048 has 48 divisors (see below), whose sum is σ = 81375840. Its totient is φ = 18055168.

The previous prime is 38402047. The next prime is 38402057. The reversal of 38402048 is 84020483.

It is a self number, because there is not a number n which added to its sum of digits gives 38402048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38402047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34265 + ... + 35367.

It is an arithmetic number, because the mean of its divisors is an integer number (1695330).

Almost surely, 238402048 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 38402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40687920).

38402048 is an abundant number, since it is smaller than the sum of its proper divisors (42973792).

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

38402048 is a wasteful number, since it uses less digits than its factorization.

38402048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 38402048 is about 6196.9385990181. The cubic root of 38402048 is about 337.3790637575.

The spelling of 38402048 in words is "thirty-eight million, four hundred two thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1103 2048 2176 2206 4352 4412 8704 8824 17408 17648 18751 34816 35296 37502 70592 75004 141184 150008 282368 300016 564736 600032 1129472 1200064 2258944 2400128 4800256 9600512 19201024 38402048