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38960488 = 2372195231
BaseRepresentation
bin1001010010011…
…1110101101000
32201022101202001
42110213311220
534433213423
63511020344
7652105300
oct224476550
981271661
1038960488
111aaa0656
121106a6b4
1380c1658
145262600
153648cad
hex2527d68

38960488 has 48 divisors (see below), whose sum is σ = 89467200. Its totient is φ = 15815520.

The previous prime is 38960483. The next prime is 38960489. The reversal of 38960488 is 88406983.

38960488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38960483) 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 11 ways as a sum of consecutive naturals, for example, 4833 + ... + 10063.

It is an arithmetic number, because the mean of its divisors is an integer number (1863900).

Almost surely, 238960488 is an apocalyptic number.

38960488 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38960488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44733600).

38960488 is an abundant number, since it is smaller than the sum of its proper divisors (50506712).

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

38960488 is a wasteful number, since it uses less digits than its factorization.

38960488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 38960488 is about 6241.8337049300. The cubic root of 38960488 is about 339.0065812049.

The spelling of 38960488 in words is "thirty-eight million, nine hundred sixty thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 5231 7448 10462 20924 36617 41848 73234 99389 146468 198778 256319 292936 397556 512638 695723 795112 1025276 1391446 2050552 2782892 4870061 5565784 9740122 19480244 38960488