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4274298880 = 2135241433
BaseRepresentation
bin1111111011000100…
…1010000000000000
3102000212211212202221
43332301022000000
532223210031010
61544045020424
7210630640525
oct37661120000
912025755687
104274298880
1118a3804015
129b3554714
135316c1147
142c795714c
151a03a8dda
hexfec4a000

4274298880 has 112 divisors (see below), whose sum is σ = 10324042344. Its totient is φ = 1698693120.

The previous prime is 4274298851. The next prime is 4274298883. The reversal of 4274298880 is 888924724.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3093139456 + 1181159424 = 55616^2 + 34368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4274298883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9871144 + ... + 9871576.

Almost surely, 24274298880 is an apocalyptic number.

4274298880 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 4274298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162021172).

4274298880 is an abundant number, since it is smaller than the sum of its proper divisors (6049743464).

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

4274298880 is an equidigital number, since it uses as much as digits as its factorization.

4274298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The square root of 4274298880 is about 65378.1223346159. The cubic root of 4274298880 is about 1622.8870532268.

The spelling of 4274298880 in words is "four billion, two hundred seventy-four million, two hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 241 256 320 433 482 512 640 866 964 1024 1205 1280 1732 1928 2048 2165 2410 2560 3464 3856 4096 4330 4820 5120 6928 7712 8192 8660 9640 10240 13856 15424 17320 19280 20480 27712 30848 34640 38560 40960 55424 61696 69280 77120 104353 110848 123392 138560 154240 208706 221696 246784 277120 308480 417412 443392 493568 521765 554240 616960 834824 886784 987136 1043530 1108480 1233920 1669648 1773568 1974272 2087060 2216960 2467840 3339296 3547136 4174120 4433920 4935680 6678592 8348240 8867840 9871360 13357184 16696480 17735680 26714368 33392960 53428736 66785920 106857472 133571840 213714944 267143680 427429888 534287360 854859776 1068574720 2137149440 4274298880