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4297870720 = 2751113151311
BaseRepresentation
bin1000000000010110…
…00100110110000000
3102002112012110021001
410000023010312000
532300223330340
61550250141344
7211335204223
oct40013046600
912075173231
104297870720
111906043980
129bb421854
13536555290
142cab315ba
151a24b329a
hex1002c4d80

4297870720 has 256 divisors, whose sum is σ = 12189864960. Its totient is φ = 1428480000.

The previous prime is 4297870697. The next prime is 4297870757. The reversal of 4297870720 is 270787924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13819365 + ... + 13819675.

It is an arithmetic number, because the mean of its divisors is an integer number (47616660).

Almost surely, 24297870720 is an apocalyptic number.

4297870720 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 4297870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094932480).

4297870720 is an abundant number, since it is smaller than the sum of its proper divisors (7891994240).

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

4297870720 is a wasteful number, since it uses less digits than its factorization.

4297870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The square root of 4297870720 is about 65558.1476248376. The cubic root of 4297870720 is about 1625.8648770390.

The spelling of 4297870720 in words is "four billion, two hundred ninety-seven million, eight hundred seventy thousand, seven hundred twenty".