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38283948 = 22331133137
BaseRepresentation
bin1001001000001…
…0101010101100
32200001000201000
42102002222230
534300041243
63444320300
7643260003
oct222025254
980030630
1038283948
111a67932a
12109a3090
137c15731
145127c3a
1535635d3
hex2482aac

38283948 has 48 divisors (see below), whose sum is σ = 100164960. Its totient is φ = 12644352.

The previous prime is 38283943. The next prime is 38283989. The reversal of 38283948 is 84938283.

It is a super-3 number, since 3×382839483 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38283943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10636 + ... + 13772.

It is an arithmetic number, because the mean of its divisors is an integer number (2086770).

Almost surely, 238283948 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 38283948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50082480).

38283948 is an abundant number, since it is smaller than the sum of its proper divisors (61881012).

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

38283948 is a wasteful number, since it uses less digits than its factorization.

38283948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3255 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 38283948 is about 6187.4023628660. The cubic root of 38283948 is about 337.0328549418.

It can be divided in two parts, 3828 and 3948, that added together give a 5-th power (7776 = 65).

The spelling of 38283948 in words is "thirty-eight million, two hundred eighty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 3137 4068 6102 6274 9411 12204 12548 18822 28233 37644 56466 84699 112932 169398 338796 354481 708962 1063443 1417924 2126886 3190329 4253772 6380658 9570987 12761316 19141974 38283948