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2024116248 = 23371129179211
BaseRepresentation
bin111100010100101…
…1001000000011000
312020001201202111110
41320221121000120
513121133204443
6532503500320
7101105463360
oct17051310030
95201652443
102024116248
11949619550
12485a576a0
1326346c22b
14152b759a0
15bca78233
hex78a59018

2024116248 has 256 divisors, whose sum is σ = 6594048000. Its totient is φ = 502387200.

The previous prime is 2024116247. The next prime is 2024116267. The reversal of 2024116248 is 8426114202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024116247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9592863 + ... + 9593073.

It is an arithmetic number, because the mean of its divisors is an integer number (25758000).

Almost surely, 22024116248 is an apocalyptic number.

2024116248 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 2024116248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297024000).

2024116248 is an abundant number, since it is smaller than the sum of its proper divisors (4569931752).

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

2024116248 is a wasteful number, since it uses less digits than its factorization.

2024116248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2024116248 is about 44990.1794617448. The cubic root of 2024116248 is about 1264.9649254181.

The spelling of 2024116248 in words is "two billion, twenty-four million, one hundred sixteen thousand, two hundred forty-eight".