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2952889548 = 2237222722123
BaseRepresentation
bin1011000000000001…
…1000010011001100
321121210101022221120
42300000120103030
522021414431143
61205002400540
7133114101300
oct26000302314
97553338846
102952889548
111285913694
126a4b00150
133809cb42b
14200261d00
1512438a383
hexb00184cc

2952889548 has 72 divisors (see below), whose sum is σ = 8050658112. Its totient is φ = 839928096.

The previous prime is 2952889529. The next prime is 2952889561. The reversal of 2952889548 is 8459882592.

It is a junction number, because it is equal to n+sod(n) for n = 2952889491 and 2952889500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122415 + ... + 144537.

It is an arithmetic number, because the mean of its divisors is an integer number (111814696).

Almost surely, 22952889548 is an apocalyptic number.

2952889548 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2952889548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025329056).

2952889548 is an abundant number, since it is smaller than the sum of its proper divisors (5097768564).

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

2952889548 is a wasteful number, since it uses less digits than its factorization.

2952889548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22371 (or 22362 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 60.

The square root of 2952889548 is about 54340.4963908134. The cubic root of 2952889548 is about 1434.6602566714.

The spelling of 2952889548 in words is "two billion, nine hundred fifty-two million, eight hundred eighty-nine thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 227 294 454 588 681 908 1362 1589 2724 3178 4767 6356 9534 11123 19068 22123 22246 33369 44246 44492 66369 66738 88492 132738 133476 154861 265476 309722 464583 619444 929166 1084027 1858332 2168054 3252081 4336108 5021921 6504162 10043842 13008324 15065763 20087684 30131526 35153447 60263052 70306894 105460341 140613788 210920682 246074129 421841364 492148258 738222387 984296516 1476444774 2952889548