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427003616 = 251353107181
BaseRepresentation
bin11001011100111…
…000111011100000
31002202111000211202
4121130320323200
51333303103431
6110212100332
713403320334
oct3134707340
91082430752
10427003616
111aa03a156
12bb0046a8
136a607780
14409d37c4
15277498cb
hex19738ee0

427003616 has 96 divisors (see below), whose sum is σ = 936175968. Its totient is φ = 190494720.

The previous prime is 427003613. The next prime is 427003639. The reversal of 427003616 is 616300724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427003613) 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, 2359046 + ... + 2359226.

It is an arithmetic number, because the mean of its divisors is an integer number (9751833).

Almost surely, 2427003616 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 427003616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468087984).

427003616 is an abundant number, since it is smaller than the sum of its proper divisors (509172352).

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

427003616 is a wasteful number, since it uses less digits than its factorization.

427003616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 427003616 is about 20664.0658148391. The cubic root of 427003616 is about 753.0269468736.

The spelling of 427003616 in words is "four hundred twenty-seven million, three thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 107 181 208 212 214 362 416 424 428 689 724 848 856 1378 1391 1448 1696 1712 2353 2756 2782 2896 3424 4706 5512 5564 5671 5792 9412 9593 11024 11128 11342 18824 19186 19367 22048 22256 22684 37648 38372 38734 44512 45368 73723 75296 76744 77468 90736 124709 147446 153488 154936 181472 249418 251771 294892 306976 309872 498836 503542 589784 619744 997672 1007084 1026451 1179568 1995344 2014168 2052902 2359136 3990688 4028336 4105804 8056672 8211608 13343863 16423216 26687726 32846432 53375452 106750904 213501808 427003616