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405248064 = 26313162359
BaseRepresentation
bin11000001001111…
…001100001000000
31001020112201211120
4120021321201000
51312220414224
6104113512240
713020360144
oct3011714100
91036481746
10405248064
1119882a961
12b3872680
1365c5b270
143bb6d224
152589d779
hex18279840

405248064 has 56 divisors (see below), whose sum is σ = 1154704320. Its totient is φ = 124690944.

The previous prime is 405248047. The next prime is 405248069. The reversal of 405248064 is 460842504.

It is not an unprimeable number, because it can be changed into a prime (405248069) 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, 78684 + ... + 83675.

It is an arithmetic number, because the mean of its divisors is an integer number (20619720).

Almost surely, 2405248064 is an apocalyptic number.

It is an amenable number.

405248064 is an abundant number, since it is smaller than the sum of its proper divisors (749456256).

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

405248064 is a wasteful number, since it uses less digits than its factorization.

405248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162387 (or 162377 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 405248064 is about 20130.7740536722. The cubic root of 405248064 is about 740.0146478717.

The spelling of 405248064 in words is "four hundred five million, two hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 162359 324718 487077 649436 974154 1298872 1948308 2110667 2597744 3896616 4221334 5195488 6332001 7793232 8442668 10390976 12664002 15586464 16885336 25328004 31172928 33770672 50656008 67541344 101312016 135082688 202624032 405248064