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4283427640 = 2351910195531
BaseRepresentation
bin1111111101001111…
…1110101100111000
3102001112000200002011
43333103332230320
532233024141030
61545012415304
7211101351142
oct37723765470
912045020064
104283427640
1118a8979648
129b6617534
1353356928b
142c8c51c92
151a10adb2a
hexff4feb38

4283427640 has 64 divisors (see below), whose sum is σ = 10156752000. Its totient is φ = 1621307520.

The previous prime is 4283427623. The next prime is 4283427641. The reversal of 4283427640 is 467243824.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4283427593 and 4283427602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4283427641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771675 + ... + 777205.

It is an arithmetic number, because the mean of its divisors is an integer number (158699250).

Almost surely, 24283427640 is an apocalyptic number.

4283427640 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 4283427640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078376000).

4283427640 is an abundant number, since it is smaller than the sum of its proper divisors (5873324360).

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

4283427640 is a wasteful number, since it uses less digits than its factorization.

4283427640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6580 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The square root of 4283427640 is about 65447.9001954990. The cubic root of 4283427640 is about 1624.0415826912.

The spelling of 4283427640 in words is "four billion, two hundred eighty-three million, four hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1019 2038 4076 5095 5531 8152 10190 11062 19361 20380 22124 27655 38722 40760 44248 55310 77444 96805 105089 110620 154888 193610 210178 221240 387220 420356 525445 774440 840712 1050890 2101780 4203560 5636089 11272178 22544356 28180445 45088712 56360890 107085691 112721780 214171382 225443560 428342764 535428455 856685528 1070856910 2141713820 4283427640