Search a number
-
+
427051368 = 233271139601
BaseRepresentation
bin11001011101000…
…100100101101000
31002202120110100100
4121131010211220
51333311120433
6110213105400
713403606502
oct3135044550
91082513310
10427051368
111aa072017
12bb028260
136a623423
1440a06d72
1527758b13
hex19744968

427051368 has 96 divisors (see below), whose sum is σ = 1183291200. Its totient is φ = 139104000.

The previous prime is 427051357. The next prime is 427051409. The reversal of 427051368 is 863150724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710268 + ... + 710868.

It is an arithmetic number, because the mean of its divisors is an integer number (12325950).

Almost surely, 2427051368 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 427051368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591645600).

427051368 is an abundant number, since it is smaller than the sum of its proper divisors (756239832).

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

427051368 is a wasteful number, since it uses less digits than its factorization.

427051368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 427051368 is about 20665.2212182691. The cubic root of 427051368 is about 753.0550162709.

The spelling of 427051368 in words is "four hundred twenty-seven million, fifty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 139 142 213 278 284 417 426 556 568 601 639 834 852 1112 1202 1251 1278 1668 1704 1803 2404 2502 2556 3336 3606 4808 5004 5112 5409 7212 9869 10008 10818 14424 19738 21636 29607 39476 42671 43272 59214 78952 83539 85342 88821 118428 128013 167078 170684 177642 236856 250617 256026 334156 341368 355284 384039 501234 512052 668312 710568 751851 768078 1002468 1024104 1503702 1536156 2004936 3007404 3072312 5931269 6014808 11862538 17793807 23725076 35587614 47450152 53381421 71175228 106762842 142350456 213525684 427051368