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9253484020 = 22511401104891
BaseRepresentation
bin10001001111000110…
…01111010111110100
3212212220001200201101
420213203033113310
5122422342442040
64130114135444
7445211213344
oct104743172764
925786050641
109253484020
113a19394560
121962b81584
13b46142741
1463ad5ad24
1539259d09a
hex2278cf5f4

9253484020 has 48 divisors (see below), whose sum is σ = 21251958336. Its totient is φ = 3356480000.

The previous prime is 9253484003. The next prime is 9253484021. The reversal of 9253484020 is 204843529.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9253484021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35775 + ... + 140665.

It is an arithmetic number, because the mean of its divisors is an integer number (442749132).

Almost surely, 29253484020 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 9253484020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10625979168).

9253484020 is an abundant number, since it is smaller than the sum of its proper divisors (11998474316).

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

9253484020 is a wasteful number, since it uses less digits than its factorization.

9253484020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105312 (or 105310 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 9253484020 is about 96195.0311606582. The cubic root of 9253484020 is about 2099.4317449604.

The spelling of 9253484020 in words is "nine billion, two hundred fifty-three million, four hundred eighty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 401 802 1604 2005 4010 4411 8020 8822 17644 22055 44110 88220 104891 209782 419564 524455 1048910 1153801 2097820 2307602 4615204 5769005 11538010 23076020 42061291 84122582 168245164 210306455 420612910 462674201 841225820 925348402 1850696804 2313371005 4626742010 9253484020