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425520432 = 24334322907
BaseRepresentation
bin11001010111001…
…110110100110000
31002122200200022000
4121113032310300
51332413123212
6110120214000
713354602231
oct3127166460
91078620260
10425520432
111a9216887
12ba60a300
136a20864c
1440729088
15275551dc
hex195ced30

425520432 has 80 divisors (see below), whose sum is σ = 1249860480. Its totient is φ = 138535488.

The previous prime is 425520379. The next prime is 425520457. The reversal of 425520432 is 234025524.

It is a happy number.

425520432 is a `hidden beast` number, since 425 + 5 + 204 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 425520396 and 425520405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7123 + ... + 30029.

It is an arithmetic number, because the mean of its divisors is an integer number (15623256).

Almost surely, 2425520432 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 425520432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624930240).

425520432 is an abundant number, since it is smaller than the sum of its proper divisors (824340048).

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

425520432 is a wasteful number, since it uses less digits than its factorization.

425520432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22967 (or 22955 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 425520432 is about 20628.1465963377. The cubic root of 425520432 is about 752.1540634248.

Adding to 425520432 its reverse (234025524), we get a palindrome (659545956).

The spelling of 425520432 in words is "four hundred twenty-five million, five hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 9288 18576 22907 45814 68721 91628 137442 183256 206163 274884 366512 412326 549768 618489 824652 985001 1099536 1236978 1649304 1970002 2473956 2955003 3298608 3940004 4947912 5910006 7880008 8865009 9895824 11820012 15760016 17730018 23640024 26595027 35460036 47280048 53190054 70920072 106380108 141840144 212760216 425520432