Search a number
-
+
399789936 = 243271330509
BaseRepresentation
bin10111110101000…
…100111101110000
31000212021102200200
4113311010331300
51304321234221
6103400515200
712623105220
oct2765047560
91025242620
10399789936
11195742107
12b1a7bb00
1364a99ac0
143b14c080
1525171426
hex17d44f70

399789936 has 120 divisors (see below), whose sum is σ = 1377099360. Its totient is φ = 105435648.

The previous prime is 399789917. The next prime is 399789941. The reversal of 399789936 is 639987993.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2151 + ... + 28358.

It is an arithmetic number, because the mean of its divisors is an integer number (11475828).

Almost surely, 2399789936 is an apocalyptic number.

399789936 is a gapful number since it is divisible by the number (36) 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 399789936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688549680).

399789936 is an abundant number, since it is smaller than the sum of its proper divisors (977309424).

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

399789936 is a wasteful number, since it uses less digits than its factorization.

399789936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30543 (or 30534 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 63.

The square root of 399789936 is about 19994.7477103363. The cubic root of 399789936 is about 736.6772967443.

The spelling of 399789936 in words is "three hundred ninety-nine million, seven hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 30509 61018 91527 122036 183054 213563 244072 274581 366108 396617 427126 488144 549162 640689 732216 793234 854252 1098324 1189851 1281378 1464432 1586468 1708504 1922067 2196648 2379702 2562756 2776319 3172936 3417008 3569553 3844134 4393296 4759404 5125512 5552638 6345872 7139106 7688268 8328957 9518808 10251024 11105276 14278212 15376536 16657914 19037616 22210552 24986871 28556424 30753072 33315828 44421104 49973742 57112848 66631656 99947484 133263312 199894968 399789936