Search a number
-
+
9040958248 = 237228798011
BaseRepresentation
bin10000110101110001…
…00001001100101000
3212100002011021011111
420122320201030220
5122003441130443
64053043040104
7440020606600
oct103270411450
925302137144
109040958248
11391a426823
121903970034
13b110c104a
1461aa37c00
1537dabc69d
hex21ae21328

9040958248 has 48 divisors (see below), whose sum is σ = 19728748800. Its totient is φ = 3872867040.

The previous prime is 9040958189. The next prime is 9040958261. The reversal of 9040958248 is 8428590409.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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, 1124563 + ... + 1132573.

It is an arithmetic number, because the mean of its divisors is an integer number (411015600).

Almost surely, 29040958248 is an apocalyptic number.

9040958248 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

9040958248 is an abundant number, since it is smaller than the sum of its proper divisors (10687790552).

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

9040958248 is a wasteful number, since it uses less digits than its factorization.

9040958248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10910 (or 10899 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The square root of 9040958248 is about 95083.9536830479. The cubic root of 9040958248 is about 2083.2344776446.

The spelling of 9040958248 in words is "nine billion, forty million, nine hundred fifty-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2879 5758 8011 11516 16022 20153 23032 32044 40306 56077 64088 80612 112154 141071 161224 224308 282142 392539 448616 564284 785078 1128568 1570156 3140312 23063669 46127338 92254676 161445683 184509352 322891366 645782732 1130119781 1291565464 2260239562 4520479124 9040958248