Search a number
-
+
38215072 = 257170603
BaseRepresentation
bin1001000111000…
…1110110100000
32122220112020001
42101301312200
534240340242
63443025344
7642552130
oct221616640
978815201
1038215072
111a631605
121096b254
137bc028c
14510aac0
15354ceb7
hex2471da0

38215072 has 24 divisors (see below), whose sum is σ = 85984416. Its totient is φ = 16377792.

The previous prime is 38215063. The next prime is 38215091. The reversal of 38215072 is 27051283.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 38215072.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 85078 + ... + 85525.

It is an arithmetic number, because the mean of its divisors is an integer number (3582684).

Almost surely, 238215072 is an apocalyptic number.

38215072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38215072 is an abundant number, since it is smaller than the sum of its proper divisors (47769344).

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

38215072 is a wasteful number, since it uses less digits than its factorization.

38215072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170620 (or 170612 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 38215072 is about 6181.8340320652. The cubic root of 38215072 is about 336.8306169190.

The spelling of 38215072 in words is "thirty-eight million, two hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 170603 341206 682412 1194221 1364824 2388442 2729648 4776884 5459296 9553768 19107536 38215072