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426807752 = 23731475231
BaseRepresentation
bin11001011100001…
…001000111001000
31002202010002011112
4121130021013020
51333230322002
6110203545452
713401543320
oct3134110710
91082102145
10426807752
111a9a15a88
12bab2b288
136a569587
1440982280
152770b852
hex197091c8

426807752 has 64 divisors (see below), whose sum is σ = 964362240. Its totient is φ = 173217600.

The previous prime is 426807751. The next prime is 426807793. The reversal of 426807752 is 257708624.

It is not an unprimeable number, because it can be changed into a prime (426807751) 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, 78977 + ... + 84207.

It is an arithmetic number, because the mean of its divisors is an integer number (15068160).

Almost surely, 2426807752 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 426807752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482181120).

426807752 is an abundant number, since it is smaller than the sum of its proper divisors (537554488).

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

426807752 is a wasteful number, since it uses less digits than its factorization.

426807752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 426807752 is about 20659.3260296651. The cubic root of 426807752 is about 752.9117929489.

The spelling of 426807752 in words is "four hundred twenty-six million, eight hundred seven thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 47 56 62 94 124 188 217 248 329 376 434 658 868 1316 1457 1736 2632 2914 5231 5828 10199 10462 11656 20398 20924 36617 40796 41848 73234 81592 146468 162161 245857 292936 324322 491714 648644 983428 1135127 1297288 1720999 1966856 2270254 3441998 4540508 6883996 7621567 9081016 13767992 15243134 30486268 53350969 60972536 106701938 213403876 426807752