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390809790 = 232572233853
BaseRepresentation
bin10111010010110…
…100100010111110
31000020101012020200
4113102310202332
51300021403130
6102440224330
712453554100
oct2722644276
91006335220
10390809790
111906691a8
12aaa6b0a6
1362c744c7
1439c91570
152449a760
hex174b48be

390809790 has 144 divisors (see below), whose sum is σ = 1233711648. Its totient is φ = 85421952.

The previous prime is 390809743. The next prime is 390809819. The reversal of 390809790 is 97908093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99504 + ... + 103356.

It is an arithmetic number, because the mean of its divisors is an integer number (8567442).

Almost surely, 2390809790 is an apocalyptic number.

390809790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 390809790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616855824).

390809790 is an abundant number, since it is smaller than the sum of its proper divisors (842901858).

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

390809790 is a wasteful number, since it uses less digits than its factorization.

390809790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 390809790 is about 19768.9096816188. The cubic root of 390809790 is about 731.1196866187.

The spelling of 390809790 in words is "three hundred ninety million, eight hundred nine thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 49 63 69 70 90 98 105 115 126 138 147 161 207 210 230 245 294 315 322 345 414 441 483 490 630 690 735 805 882 966 1035 1127 1449 1470 1610 2070 2205 2254 2415 2898 3381 3853 4410 4830 5635 6762 7245 7706 10143 11270 11559 14490 16905 19265 20286 23118 26971 33810 34677 38530 50715 53942 57795 69354 80913 88619 101430 115590 134855 161826 173385 177238 188797 242739 265857 269710 346770 377594 404565 443095 485478 531714 566391 620333 797571 809130 886190 943985 1132782 1213695 1240666 1329285 1595142 1699173 1860999 1887970 2427390 2658570 2831955 3101665 3398346 3721998 3987855 4342331 5582997 5663910 6203330 7975710 8495865 8684662 9304995 11165994 13026993 16991730 18609990 21711655 26053986 27914985 39080979 43423310 55829970 65134965 78161958 130269930 195404895 390809790