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425080032 = 25313477247
BaseRepresentation
bin11001010101100…
…011010011100000
31002121212022011220
4121111203103200
51332310030112
6110102535040
713351056246
oct3125432340
91077768156
10425080032
111a8a45a13
12ba437480
136a0b3060
1440652796
15274b998c
hex195634e0

425080032 has 96 divisors (see below), whose sum is σ = 1227405312. Its totient is φ = 127993344.

The previous prime is 425080009. The next prime is 425080037. The reversal of 425080032 is 230080524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 425079984 and 425080011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425080037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55033 + ... + 62279.

It is an arithmetic number, because the mean of its divisors is an integer number (12785472).

Almost surely, 2425080032 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 425080032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613702656).

425080032 is an abundant number, since it is smaller than the sum of its proper divisors (802325280).

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

425080032 is a wasteful number, since it uses less digits than its factorization.

425080032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320 (or 7312 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 425080032 is about 20617.4690978306. The cubic root of 425080032 is about 751.8944887428.

The spelling of 425080032 in words is "four hundred twenty-five million, eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2256 2444 3666 4512 4888 7247 7332 9776 14494 14664 19552 21741 28988 29328 43482 57976 58656 86964 94211 115952 173928 188422 231904 282633 340609 347856 376844 565266 681218 695712 753688 1021827 1130532 1362436 1507376 2043654 2261064 2724872 3014752 4087308 4427917 4522128 5449744 8174616 8855834 9044256 10899488 13283751 16349232 17711668 26567502 32698464 35423336 53135004 70846672 106270008 141693344 212540016 425080032