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4425680 = 245721129
BaseRepresentation
bin10000111000011111010000
322022211220002
4100320133100
52113110210
6234505132
752421600
oct20703720
98284802
104425680
112553096
1215951a8
13bbc55c
14832c00
155c64a5
hex4387d0

4425680 has 60 divisors (see below), whose sum is σ = 11980260. Its totient is φ = 1516032.

The previous prime is 4425679. The next prime is 4425691. The reversal of 4425680 is 865244.

It can be written as a sum of positive squares in 2 ways, for example, as 906304 + 3519376 = 952^2 + 1876^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3356 + ... + 4484.

It is an arithmetic number, because the mean of its divisors is an integer number (199671).

Almost surely, 24425680 is an apocalyptic number.

4425680 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 4425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990130).

4425680 is an abundant number, since it is smaller than the sum of its proper divisors (7554580).

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

4425680 is a wasteful number, since it uses less digits than its factorization.

4425680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 4425680 is about 2103.7300207013. The cubic root of 4425680 is about 164.1824263889.

The spelling of 4425680 in words is "four million, four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1129 1960 2258 3920 4516 5645 7903 9032 11290 15806 18064 22580 31612 39515 45160 55321 63224 79030 90320 110642 126448 158060 221284 276605 316120 442568 553210 632240 885136 1106420 2212840 4425680