Search a number
-
+
38488680 = 233251719331
BaseRepresentation
bin1001001011010…
…0101001101000
32200102102112200
42102310221220
534323114210
63452540200
7645101616
oct222645150
980372480
1038488680
111a7a912a
1210a81660
137c87989
14517c6b6
1535a40c0
hex24b4a68

38488680 has 192 divisors, whose sum is σ = 139838400. Its totient is φ = 9123840.

The previous prime is 38488669. The next prime is 38488687. The reversal of 38488680 is 8688483.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38488687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116115 + ... + 116445.

It is an arithmetic number, because the mean of its divisors is an integer number (728325).

Almost surely, 238488680 is an apocalyptic number.

38488680 is a gapful number since it is divisible by the number (30) 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 38488680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69919200).

38488680 is an abundant number, since it is smaller than the sum of its proper divisors (101349720).

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

38488680 is a wasteful number, since it uses less digits than its factorization.

38488680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 38488680 is about 6203.9245643383. The cubic root of 38488680 is about 337.6325734314.

The spelling of 38488680 in words is "thirty-eight million, four hundred eighty-eight thousand, six hundred eighty".