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2964042460 = 225436156501
BaseRepresentation
bin1011000010101011…
…1011001011011100
321122120100221212101
42300222323023130
522032243324320
61210041414444
7133310642131
oct26052731334
97576327771
102964042460
111291140a75
126a879a424
133831049a2
14201926588
1512533ec0a
hexb0abb2dc

2964042460 has 48 divisors (see below), whose sum is σ = 6473773152. Its totient is φ = 1139040000.

The previous prime is 2964042457. The next prime is 2964042481. The reversal of 2964042460 is 642404692.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24210 + ... + 80710.

It is an arithmetic number, because the mean of its divisors is an integer number (134870274).

Almost surely, 22964042460 is an apocalyptic number.

2964042460 is a gapful number since it is divisible by the number (20) 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 2964042460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236886576).

2964042460 is an abundant number, since it is smaller than the sum of its proper divisors (3509730692).

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

2964042460 is a wasteful number, since it uses less digits than its factorization.

2964042460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56614 (or 56612 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 2964042460 is about 54443.0203056370. The cubic root of 2964042460 is about 1436.4642001156.

The spelling of 2964042460 in words is "two billion, nine hundred sixty-four million, forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 43 61 86 122 172 215 244 305 430 610 860 1220 2623 5246 10492 13115 26230 52460 56501 113002 226004 282505 565010 1130020 2429543 3446561 4859086 6893122 9718172 12147715 13786244 17232805 24295430 34465610 48590860 68931220 148202123 296404246 592808492 741010615 1482021230 2964042460