Search a number
-
+
399361950 = 2325213193593
BaseRepresentation
bin10111110011011…
…100011110011110
31000211110200121100
4113303130132132
51304214040300
6103343413530
712616343361
oct2763343636
91024420540
10399361950
1119547a5a9
12b18b42a6
136497a060
143b07a0d8
15250d9700
hex17cdc79e

399361950 has 144 divisors (see below), whose sum is σ = 1216640880. Its totient is φ = 93104640.

The previous prime is 399361927. The next prime is 399361951. The reversal of 399361950 is 59163993.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 399361896 and 399361905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399361951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109354 + ... + 112946.

It is an arithmetic number, because the mean of its divisors is an integer number (8448895).

Almost surely, 2399361950 is an apocalyptic number.

399361950 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 399361950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608320440).

399361950 is an abundant number, since it is smaller than the sum of its proper divisors (817278930).

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

399361950 is a wasteful number, since it uses less digits than its factorization.

399361950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 399361950 is about 19984.0423838622. The cubic root of 399361950 is about 736.4143251884.

The spelling of 399361950 in words is "three hundred ninety-nine million, three hundred sixty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 25 26 30 38 39 45 50 57 65 75 78 90 95 114 117 130 150 171 190 195 225 234 247 285 325 342 390 450 475 494 570 585 650 741 855 950 975 1170 1235 1425 1482 1710 1950 2223 2470 2850 2925 3593 3705 4275 4446 5850 6175 7186 7410 8550 10779 11115 12350 17965 18525 21558 22230 32337 35930 37050 46709 53895 55575 64674 68267 89825 93418 107790 111150 136534 140127 161685 179650 204801 233545 269475 280254 323370 341335 409602 420381 467090 538950 614403 682670 700635 808425 840762 887471 1024005 1167725 1228806 1401270 1616850 1706675 1774942 2048010 2101905 2335450 2662413 3072015 3413350 3503175 4203810 4437355 5120025 5324826 6144030 7006350 7987239 8874710 10240050 10509525 13312065 15360075 15974478 21019050 22186775 26624130 30720150 39936195 44373550 66560325 79872390 133120650 199680975 399361950