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4298469120 = 28345113769
BaseRepresentation
bin1000000000011010…
…10110111100000000
3102002120022212010000
410000031112330000
532300402002440
61550311040000
7211343245641
oct40015267400
912076285100
104298469120
111906412520
129bb670000
1353670476a
142cac496c8
151a2580730
hex100356f00

4298469120 has 360 divisors, whose sum is σ = 16783406640. Its totient is φ = 1041776640.

The previous prime is 4298469113. The next prime is 4298469143. The reversal of 4298469120 is 219648924.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1138596 + ... + 1142364.

It is an arithmetic number, because the mean of its divisors is an integer number (46620574).

Almost surely, 24298469120 is an apocalyptic number.

4298469120 is a gapful number since it is divisible by the number (40) 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 4298469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391703320).

4298469120 is an abundant number, since it is smaller than the sum of its proper divisors (12484937520).

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

4298469120 is a wasteful number, since it uses less digits than its factorization.

4298469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4298469120 is about 65562.7113533295. The cubic root of 4298469120 is about 1625.9403308668.

The spelling of 4298469120 in words is "four billion, two hundred ninety-eight million, four hundred sixty-nine thousand, one hundred twenty".