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427363872 = 25313443773
BaseRepresentation
bin11001011110010…
…000111000100000
31002210011100000120
4121132100320200
51333401120442
6110223520240
713406350545
oct3136207040
91083140016
10427363872
111aa265891
12bb159080
136a702740
1440a88bcc
15277bb4ec
hex19790e20

427363872 has 96 divisors (see below), whose sum is σ = 1212418368. Its totient is φ = 131030016.

The previous prime is 427363847. The next prime is 427363877. The reversal of 427363872 is 278363724.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (427363877) 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, 552478 + ... + 553250.

It is an arithmetic number, because the mean of its divisors is an integer number (12629358).

Almost surely, 2427363872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427363872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606209184).

427363872 is an abundant number, since it is smaller than the sum of its proper divisors (785054496).

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

427363872 is a wasteful number, since it uses less digits than its factorization.

427363872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1234 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 427363872 is about 20672.7809450011. The cubic root of 427363872 is about 753.2386595377.

The spelling of 427363872 in words is "four hundred twenty-seven million, three hundred sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 443 624 773 886 1248 1329 1546 1772 2319 2658 3092 3544 4638 5316 5759 6184 7088 9276 10049 10632 11518 12368 14176 17277 18552 20098 21264 23036 24736 30147 34554 37104 40196 42528 46072 60294 69108 74208 80392 92144 120588 138216 160784 184288 241176 276432 321568 342439 482352 552864 684878 964704 1027317 1369756 2054634 2739512 4109268 4451707 5479024 8218536 8903414 10958048 13355121 16437072 17806828 26710242 32874144 35613656 53420484 71227312 106840968 142454624 213681936 427363872