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4285786240 = 27523928019
BaseRepresentation
bin1111111101110011…
…1110100010000000
3102001200110111110201
43333130332202000
532234130124430
61545135134544
7211130403421
oct37734764200
912050414421
104285786240
1118aa23a6aa
129b7374454
13533bb39b8
142c92a7648
151a13c78ca
hexff73e880

4285786240 has 64 divisors (see below), whose sum is σ = 10288944000. Its totient is φ = 1707080704.

The previous prime is 4285786231. The next prime is 4285786283. The reversal of 4285786240 is 426875824.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138951 + ... + 166969.

It is an arithmetic number, because the mean of its divisors is an integer number (160764750).

Almost surely, 24285786240 is an apocalyptic number.

4285786240 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 4285786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144472000).

4285786240 is an abundant number, since it is smaller than the sum of its proper divisors (6003157760).

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

4285786240 is a wasteful number, since it uses less digits than its factorization.

4285786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28277 (or 28265 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The square root of 4285786240 is about 65465.9166284258. The cubic root of 4285786240 is about 1624.3396120541.

The spelling of 4285786240 in words is "four billion, two hundred eighty-five million, seven hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 320 478 640 956 1195 1912 2390 3824 4780 7648 9560 15296 19120 28019 30592 38240 56038 76480 112076 140095 152960 224152 280190 448304 560380 896608 1120760 1793216 2241520 3586432 4483040 6696541 8966080 13393082 17932160 26786164 33482705 53572328 66965410 107144656 133930820 214289312 267861640 428578624 535723280 857157248 1071446560 2142893120 4285786240