Search a number
-
+
35148064 = 257173907
BaseRepresentation
bin1000011000010…
…1000100100000
32110010201002011
42012011010200
532444214224
63253202304
7604516330
oct206050440
973121064
1035148064
1118927296
12b930394
137388293
14494d0c0
153144394
hex2185120

35148064 has 48 divisors (see below), whose sum is σ = 79627968. Its totient is φ = 14959872.

The previous prime is 35148059. The next prime is 35148067. The reversal of 35148064 is 46084153.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (35148067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38299 + ... + 39205.

It is an arithmetic number, because the mean of its divisors is an integer number (1658916).

Almost surely, 235148064 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 35148064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39813984).

35148064 is an abundant number, since it is smaller than the sum of its proper divisors (44479904).

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

35148064 is a wasteful number, since it uses less digits than its factorization.

35148064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 35148064 is about 5928.5802684960. The cubic root of 35148064 is about 327.5672460635.

The spelling of 35148064 in words is "thirty-five million, one hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 173 224 346 692 907 1211 1384 1814 2422 2768 3628 4844 5536 6349 7256 9688 12698 14512 19376 25396 29024 38752 50792 101584 156911 203168 313822 627644 1098377 1255288 2196754 2510576 4393508 5021152 8787016 17574032 35148064