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3950856 = 233471367
BaseRepresentation
bin1111000100100100001000
321102201120000
433010210020
52002411411
6220403000
745403350
oct17044410
97381500
103950856
112259378
1213a6460
13a843b0
1474bb60
15530956
hex3c4908

3950856 has 160 divisors (see below), whose sum is σ = 13823040. Its totient is φ = 1026432.

The previous prime is 3950827. The next prime is 3950887. The reversal of 3950856 is 6580593.

3950856 = T248 + T249 + ... + T338.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3950856.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58935 + ... + 59001.

It is an arithmetic number, because the mean of its divisors is an integer number (86394).

Almost surely, 23950856 is an apocalyptic number.

3950856 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 3950856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6911520).

3950856 is an abundant number, since it is smaller than the sum of its proper divisors (9872184).

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

3950856 is a wasteful number, since it uses less digits than its factorization.

3950856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3950856 is about 1987.6760299405. The cubic root of 3950856 is about 158.0873308803.

3950856 divided by its sum of digits (36) gives a triangular number (109746 = T468).

The spelling of 3950856 in words is "three million, nine hundred fifty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 67 72 78 81 84 91 104 108 117 126 134 156 162 168 182 189 201 216 234 252 268 273 312 324 351 364 378 402 468 469 504 536 546 567 603 648 702 728 756 804 819 871 936 938 1053 1092 1134 1206 1404 1407 1512 1608 1638 1742 1809 1876 2106 2184 2268 2412 2457 2613 2808 2814 3276 3484 3618 3752 4212 4221 4536 4824 4914 5226 5427 5628 6097 6552 6968 7236 7371 7839 8424 8442 9828 10452 10854 11256 12194 12663 14472 14742 15678 16884 18291 19656 20904 21708 23517 24388 25326 29484 31356 33768 36582 37989 43416 47034 48776 50652 54873 58968 62712 70551 73164 75978 94068 101304 109746 141102 146328 151956 164619 188136 219492 282204 303912 329238 438984 493857 564408 658476 987714 1316952 1975428 3950856