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4788349072 = 24131091271663
BaseRepresentation
bin1000111010110100…
…00110100010010000
3110100201010100001221
410131122012202100
534301304132242
62111050534424
7226442203243
oct43532064220
913321110057
104788349072
112037997591
12b17737414
135b4055460
14335d2925a
151d059a167
hex11d686890

4788349072 has 80 divisors (see below), whose sum is σ = 10168238080. Its totient is φ = 2171183616.

The previous prime is 4788349037. The next prime is 4788349109. The reversal of 4788349072 is 2709438874.

It is a super-2 number, since 2×47883490722 = 45856573670646522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 15 ways as a sum of consecutive naturals, for example, 2878513 + ... + 2880175.

It is an arithmetic number, because the mean of its divisors is an integer number (127102976).

Almost surely, 24788349072 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 4788349072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084119040).

4788349072 is an abundant number, since it is smaller than the sum of its proper divisors (5379889008).

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

4788349072 is a wasteful number, since it uses less digits than its factorization.

4788349072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The square root of 4788349072 is about 69197.8978871468. The cubic root of 4788349072 is about 1685.4993952200.

The spelling of 4788349072 in words is "four billion, seven hundred eighty-eight million, three hundred forty-nine thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 109 127 208 218 254 436 508 872 1016 1417 1651 1663 1744 2032 2834 3302 3326 5668 6604 6652 11336 13208 13304 13843 21619 22672 26416 26608 27686 43238 55372 86476 110744 172952 179959 181267 211201 221488 345904 359918 362534 422402 719836 725068 844804 1439672 1450136 1689608 2356471 2745613 2879344 2900272 3379216 4712942 5491226 9425884 10982452 18851768 21964904 23020909 37703536 43929808 46041818 92083636 184167272 299271817 368334544 598543634 1197087268 2394174536 4788349072