Search a number
-
+
442061360 = 24513425059
BaseRepresentation
bin11010010110010…
…101001000110000
31010210211001011222
4122112111020300
51401131430420
6111510524212
713645313426
oct3226251060
91123731158
10442061360
11207594274
12104066668
137077a490
14429d3116
1528c21225
hex1a595230

442061360 has 40 divisors (see below), whose sum is σ = 1106856240. Its totient is φ = 163222272.

The previous prime is 442061359. The next prime is 442061363. The reversal of 442061360 is 63160244.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (442061363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211490 + ... + 213569.

It is an arithmetic number, because the mean of its divisors is an integer number (27671406).

Almost surely, 2442061360 is an apocalyptic number.

442061360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442061360 is an abundant number, since it is smaller than the sum of its proper divisors (664794880).

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

442061360 is a wasteful number, since it uses less digits than its factorization.

442061360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425085 (or 425079 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 442061360 is about 21025.2552897700. The cubic root of 442061360 is about 761.7764078771.

The spelling of 442061360 in words is "four hundred forty-two million, sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 425059 850118 1700236 2125295 3400472 4250590 5525767 6800944 8501180 11051534 17002360 22103068 27628835 34004720 44206136 55257670 88412272 110515340 221030680 442061360