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425106480 = 243513912743
BaseRepresentation
bin11001010101101…
…001110000110000
31002121220122110110
4121111221300300
51332311401410
6110103301320
713351226331
oct3125516060
91077818413
10425106480
111a8a63877
12ba44a840
136a0c20c6
144065c288
15274c2720
hex19569c30

425106480 has 80 divisors (see below), whose sum is σ = 1327415040. Its totient is φ = 112537344.

The previous prime is 425106413. The next prime is 425106509. The reversal of 425106480 is 84601524.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 26989 + ... + 39731.

It is an arithmetic number, because the mean of its divisors is an integer number (16592688).

Almost surely, 2425106480 is an apocalyptic number.

425106480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663707520).

425106480 is an abundant number, since it is smaller than the sum of its proper divisors (902308560).

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

425106480 is a wasteful number, since it uses less digits than its factorization.

425106480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12898 (or 12892 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 425106480 is about 20618.1104856871. The cubic root of 425106480 is about 751.9100824283.

The spelling of 425106480 in words is "four hundred twenty-five million, one hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 12743 16680 25486 33360 38229 50972 63715 76458 101944 127430 152916 191145 203888 254860 305832 382290 509720 611664 764580 1019440 1529160 1771277 3058320 3542554 5313831 7085108 8856385 10627662 14170216 17712770 21255324 26569155 28340432 35425540 42510648 53138310 70851080 85021296 106276620 141702160 212553240 425106480