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395425260 = 223354311699
BaseRepresentation
bin10111100100011…
…011010111101100
31000120001200111000
4113210123113230
51302212102020
6103123200300
712541026216
oct2744332754
91016050430
10395425260
1119323093a
12b0516090
1363bcc259
143a7335b6
1524aad090
hex1791b5ec

395425260 has 96 divisors (see below), whose sum is σ = 1233792000. Its totient is φ = 105140160.

The previous prime is 395425259. The next prime is 395425267. The reversal of 395425260 is 62524593.

395425260 is a `hidden beast` number, since 3 + 9 + 542 + 52 + 60 = 666.

It is a super-2 number, since 2×3954252602 = 312722272492135200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (395425267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231891 + ... + 233589.

It is an arithmetic number, because the mean of its divisors is an integer number (12852000).

Almost surely, 2395425260 is an apocalyptic number.

395425260 is a gapful number since it is divisible by the number (30) 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 395425260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

395425260 is an abundant number, since it is smaller than the sum of its proper divisors (838366740).

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

395425260 is a wasteful number, since it uses less digits than its factorization.

395425260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 395425260 is about 19885.3026127339. The cubic root of 395425260 is about 733.9866084122.

The spelling of 395425260 in words is "three hundred ninety-five million, four hundred twenty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 431 540 862 1293 1699 1724 2155 2586 3398 3879 4310 5097 5172 6465 6796 7758 8495 8620 10194 11637 12930 15291 15516 16990 19395 20388 23274 25485 25860 30582 33980 38790 45873 46548 50970 58185 61164 76455 77580 91746 101940 116370 152910 183492 229365 232740 305820 458730 732269 917460 1464538 2196807 2929076 3661345 4393614 6590421 7322690 8787228 10984035 13180842 14645380 19771263 21968070 26361684 32952105 39542526 43936140 65904210 79085052 98856315 131808420 197712630 395425260