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395549540 = 225171916091
BaseRepresentation
bin10111100100111…
…001101101100100
31000120021222221222
4113210321231210
51302230041130
6103125555512
712542054441
oct2744715544
91016258858
10395549540
11193306251
12b0575b98
1363c439a9
143a7669c8
1524ad4ce5
hex17939b64

395549540 has 48 divisors (see below), whose sum is σ = 884265984. Its totient is φ = 148108800.

The previous prime is 395549537. The next prime is 395549549. The reversal of 395549540 is 45945593.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 395549491 and 395549500.

It is not an unprimeable number, because it can be changed into a prime (395549549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61895 + ... + 67985.

It is an arithmetic number, because the mean of its divisors is an integer number (18422208).

Almost surely, 2395549540 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 395549540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442132992).

395549540 is an abundant number, since it is smaller than the sum of its proper divisors (488716444).

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

395549540 is a wasteful number, since it uses less digits than its factorization.

395549540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 44.

The square root of 395549540 is about 19888.4272882498. The cubic root of 395549540 is about 734.0634963519.

It can be divided in two parts, 39554 and 9540, that added together give a palindrome (49094).

The spelling of 395549540 in words is "three hundred ninety-five million, five hundred forty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 191 340 382 764 955 1910 3247 3820 6091 6494 12182 12988 16235 24364 30455 32470 60910 64940 103547 121820 207094 414188 517735 1035470 1163381 2070940 2326762 4653524 5816905 11633810 19777477 23267620 39554954 79109908 98887385 197774770 395549540