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394048520 = 23529379181
BaseRepresentation
bin10111011111001…
…011010000001000
31000110110201221122
4113133023100020
51301334023040
6103033454412
712523233335
oct2737132010
91013421848
10394048520
11192480538
12abb71408
1363839708
143a49598c
15248da1b5
hex177cb408

394048520 has 64 divisors (see below), whose sum is σ = 942073200. Its totient is φ = 148055040.

The previous prime is 394048513. The next prime is 394048537. The reversal of 394048520 is 25840493.

It can be written as a sum of positive squares in 8 ways, for example, as 289068004 + 104980516 = 17002^2 + 10246^2 .

It is a super-2 number, since 2×3940485202 = 310548472228380800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38330 + ... + 47510.

Almost surely, 2394048520 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 394048520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471036600).

394048520 is an abundant number, since it is smaller than the sum of its proper divisors (548024680).

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

394048520 is a wasteful number, since it uses less digits than its factorization.

394048520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258 (or 9254 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 394048520 is about 19850.6554047971. The cubic root of 394048520 is about 733.1337850077.

The spelling of 394048520 in words is "three hundred ninety-four million, forty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 74 116 145 148 185 232 290 296 370 580 740 1073 1160 1480 2146 4292 5365 8584 9181 10730 18362 21460 36724 42920 45905 73448 91810 183620 266249 339697 367240 532498 679394 1064996 1331245 1358788 1698485 2129992 2662490 2717576 3396970 5324980 6793940 9851213 10649960 13587880 19702426 39404852 49256065 78809704 98512130 197024260 394048520