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427064778 = 23375321317
BaseRepresentation
bin11001011101000…
…111110111001010
31002202121010202000
4121131013313022
51333312033103
6110213251430
713403663550
oct3135076712
91082533660
10427064778
111aa0810a8
12bb033b76
136a62956a
1440a0bbd0
152775caa3
hex19747dca

427064778 has 64 divisors (see below), whose sum is σ = 1105125120. Its totient is φ = 119710656.

The previous prime is 427064761. The next prime is 427064779. The reversal of 427064778 is 877460724.

It is not an unprimeable number, because it can be changed into a prime (427064779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9376 + ... + 30692.

It is an arithmetic number, because the mean of its divisors is an integer number (17267580).

Almost surely, 2427064778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427064778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552562560).

427064778 is an abundant number, since it is smaller than the sum of its proper divisors (678060342).

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

427064778 is a wasteful number, since it uses less digits than its factorization.

427064778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21388 (or 21382 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 427064778 is about 20665.5456738989. The cubic root of 427064778 is about 753.0628985093.

The spelling of 427064778 in words is "four hundred twenty-seven million, sixty-four thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 954 1113 1431 2226 2862 3339 6678 10017 20034 21317 42634 63951 127902 149219 191853 298438 383706 447657 575559 895314 1129801 1151118 1342971 2259602 2685942 3389403 4028913 6778806 7908607 8057826 10168209 15817214 20336418 23725821 30504627 47451642 61009254 71177463 142354926 213532389 427064778