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425505312 = 2534167983
BaseRepresentation
bin11001010111001…
…011001000100000
31002122122220120000
4121113023020200
51332412132222
6110120020000
713354510161
oct3127131040
91078586500
10425505312
111a9206491
12ba601600
136a2017bb
1440723768
15275509ac
hex195cb220

425505312 has 120 divisors (see below), whose sum is σ = 1260173376. Its totient is φ = 140842368.

The previous prime is 425505293. The next prime is 425505329. The reversal of 425505312 is 213505524.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 432373 + ... + 433355.

Almost surely, 2425505312 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 425505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630086688).

425505312 is an abundant number, since it is smaller than the sum of its proper divisors (834668064).

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

425505312 is a wasteful number, since it uses less digits than its factorization.

425505312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 425505312 is about 20627.7801035400. The cubic root of 425505312 is about 752.1451545662.

The spelling of 425505312 in words is "four hundred twenty-five million, five hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 167 216 288 324 334 432 501 648 668 864 983 1002 1296 1336 1503 1966 2004 2592 2672 2949 3006 3932 4008 4509 5344 5898 6012 7864 8016 8847 9018 11796 12024 13527 15728 16032 17694 18036 23592 24048 26541 27054 31456 35388 36072 47184 48096 53082 54108 70776 72144 79623 94368 106164 108216 141552 144288 159246 164161 212328 216432 283104 318492 328322 424656 432864 492483 636984 656644 849312 984966 1273968 1313288 1477449 1969932 2547936 2626576 2954898 3939864 4432347 5253152 5909796 7879728 8864694 11819592 13297041 15759456 17729388 23639184 26594082 35458776 47278368 53188164 70917552 106376328 141835104 212752656 425505312