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505386378 = 2347716277
BaseRepresentation
bin11110000111111…
…001010110001010
31022012222021210000
4132013321112022
52013334331003
6122052103430
715344466450
oct3607712612
91265867700
10505386378
1123a3062a2
12121304b76
138091c9c3
144b1989d0
152e57e1a3
hex1e1f958a

505386378 has 80 divisors (see below), whose sum is σ = 1312654464. Its totient is φ = 142339680.

The previous prime is 505386331. The next prime is 505386473. The reversal of 505386378 is 873683505.

505386378 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 8 + 637 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77376 + ... + 83652.

Almost surely, 2505386378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505386378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656327232).

505386378 is an abundant number, since it is smaller than the sum of its proper divisors (807268086).

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

505386378 is a wasteful number, since it uses less digits than its factorization.

505386378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 505386378 is about 22480.8002081776. The cubic root of 505386378 is about 796.5404663067.

The spelling of 505386378 in words is "five hundred five million, three hundred eighty-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 81 126 142 162 189 213 378 426 497 567 639 994 1134 1278 1491 1917 2982 3834 4473 5751 6277 8946 11502 12554 13419 18831 26838 37662 40257 43939 56493 80514 87878 112986 131817 169479 263634 338958 395451 445667 508437 790902 891334 1016874 1186353 1337001 2372706 2674002 3119669 3559059 4011003 6239338 7118118 8022006 9359007 12033009 18718014 24066018 28077021 36099027 56154042 72198054 84231063 168462126 252693189 505386378