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2501130288 = 243298092221
BaseRepresentation
bin1001010100010100…
…0011100000110000
320110022022120202010
42111011003200300
520110242132123
61052103522520
7115660154016
oct22505034060
96408276663
102501130288
111073906228
12599759440
1330b236a67
1419a2668b6
15e98a0993
hex95143830

2501130288 has 80 divisors (see below), whose sum is σ = 6695330400. Its totient is φ = 803604480.

The previous prime is 2501130221. The next prime is 2501130299. The reversal of 2501130288 is 8820311052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1125018 + ... + 1127238.

It is an arithmetic number, because the mean of its divisors is an integer number (83691630).

Almost surely, 22501130288 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 2501130288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347665200).

2501130288 is an abundant number, since it is smaller than the sum of its proper divisors (4194200112).

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

2501130288 is a wasteful number, since it uses less digits than its factorization.

2501130288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2501130288 is about 50011.3016027378. The cubic root of 2501130288 is about 1357.4133157242.

The spelling of 2501130288 in words is "two billion, five hundred one million, one hundred thirty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 809 1392 1618 2221 2427 3236 4442 4854 6472 6663 8884 9708 12944 13326 17768 19416 23461 26652 35536 38832 46922 53304 64409 70383 93844 106608 128818 140766 187688 193227 257636 281532 375376 386454 515272 563064 772908 1030544 1126128 1545816 1796789 3091632 3593578 5390367 7187156 10780734 14374312 21561468 28748624 43122936 52106881 86245872 104213762 156320643 208427524 312641286 416855048 625282572 833710096 1250565144 2501130288