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4428858240 = 27325787977
BaseRepresentation
bin1000001111111101…
…10000001110000000
3102102122200022100200
410013332300032000
533032241430430
62011245445200
7214515450102
oct40776601600
912378608320
104428858240
111972a7a824
12a37270800
135577283a1
143002ab572
151adc39460
hex107fb0380

4428858240 has 192 divisors, whose sum is σ = 15328506960. Its totient is φ = 1178320896.

The previous prime is 4428858223. The next prime is 4428858271. The reversal of 4428858240 is 428588244.

4428858240 is a `hidden beast` number, since 4 + 4 + 28 + 8 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×44288582402 = 39229570620031795200, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4532632 + ... + 4533608.

Almost surely, 24428858240 is an apocalyptic number.

4428858240 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 4428858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664253480).

4428858240 is an abundant number, since it is smaller than the sum of its proper divisors (10899648720).

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

4428858240 is a wasteful number, since it uses less digits than its factorization.

4428858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 4428858240 is about 66549.6674672383. The cubic root of 4428858240 is about 1642.2171875336.

The spelling of 4428858240 in words is "four billion, four hundred twenty-eight million, eight hundred fifty-eight thousand, two hundred forty".