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2302494048 = 253227129501
BaseRepresentation
bin1000100100111101…
…0100010101100000
312221110112211001100
42021033110111200
514203414302143
61020250234400
7111025606431
oct21117242540
95843484040
102302494048
11a81774948
12543125a00
132a903941a
1417bb1b488
15d72156d3
hex893d4560

2302494048 has 72 divisors (see below), whose sum is σ = 6572101536. Its totient is φ = 764640000.

The previous prime is 2302494041. The next prime is 2302494067. The reversal of 2302494048 is 8404942032.

2302494048 is a `hidden beast` number, since 2 + 3 + 0 + 249 + 404 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302494041) by changing a digit.

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, 63298 + ... + 92798.

It is an arithmetic number, because the mean of its divisors is an integer number (91279188).

Almost surely, 22302494048 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 2302494048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286050768).

2302494048 is an abundant number, since it is smaller than the sum of its proper divisors (4269607488).

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

2302494048 is a wasteful number, since it uses less digits than its factorization.

2302494048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29788 (or 29777 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2302494048 is about 47984.3104358081. The cubic root of 2302494048 is about 1320.4830738790.

The spelling of 2302494048 in words is "two billion, three hundred two million, four hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 271 288 542 813 1084 1626 2168 2439 3252 4336 4878 6504 8672 9756 13008 19512 26016 29501 39024 59002 78048 88503 118004 177006 236008 265509 354012 472016 531018 708024 944032 1062036 1416048 2124072 2832096 4248144 7994771 8496288 15989542 23984313 31979084 47968626 63958168 71952939 95937252 127916336 143905878 191874504 255832672 287811756 383749008 575623512 767498016 1151247024 2302494048