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2428804512 = 253225133599
BaseRepresentation
bin1001000011000100…
…1001110110100000
320021021020001102200
42100301021312200
514433233221022
61041001413200
7114121332501
oct22061116640
96237201380
102428804512
111036aa6862
1257949a200
132c9262744
141907daba8
15e3365bac
hex90c49da0

2428804512 has 72 divisors (see below), whose sum is σ = 6934636800. Its totient is φ = 806352000.

The previous prime is 2428804489. The next prime is 2428804513. The reversal of 2428804512 is 2154088242.

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 not an unprimeable number, because it can be changed into a prime (2428804513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55489 + ... + 89087.

It is an arithmetic number, because the mean of its divisors is an integer number (96314400).

Almost surely, 22428804512 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 2428804512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467318400).

2428804512 is an abundant number, since it is smaller than the sum of its proper divisors (4505832288).

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

2428804512 is a wasteful number, since it uses less digits than its factorization.

2428804512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33866 (or 33855 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2428804512 is about 49282.9028365822. The cubic root of 2428804512 is about 1344.2009159668.

The spelling of 2428804512 in words is "two billion, four hundred twenty-eight million, eight hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 251 288 502 753 1004 1506 2008 2259 3012 4016 4518 6024 8032 9036 12048 18072 24096 33599 36144 67198 72288 100797 134396 201594 268792 302391 403188 537584 604782 806376 1075168 1209564 1612752 2419128 3225504 4838256 8433349 9676512 16866698 25300047 33733396 50600094 67466792 75900141 101200188 134933584 151800282 202400376 269867168 303600564 404800752 607201128 809601504 1214402256 2428804512