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3843385952 = 257231372137
BaseRepresentation
bin1110010100010101…
…0110101001100000
3100220212000020100212
43211011112221200
530332401322302
61433213033252
7164146145600
oct34505265140
910825006325
103843385952
1116a254482a
128b3185828
13493348193
14286626c00
1517763b052
hexe5156a60

3843385952 has 144 divisors (see below), whose sum is σ = 9335910528. Its totient is φ = 1550223360.

The previous prime is 3843385939. The next prime is 3843385957. The reversal of 3843385952 is 2595833483.

It is a self number, because there is not a number n which added to its sum of digits gives 3843385952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3843385957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1797428 + ... + 1799564.

It is an arithmetic number, because the mean of its divisors is an integer number (64832712).

Almost surely, 23843385952 is an apocalyptic number.

3843385952 is a gapful number since it is divisible by the number (32) 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 3843385952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667955264).

3843385952 is an abundant number, since it is smaller than the sum of its proper divisors (5492524576).

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

3843385952 is a wasteful number, since it uses less digits than its factorization.

3843385952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2214 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 50.

The square root of 3843385952 is about 61995.0478022237. The cubic root of 3843385952 is about 1566.4071835426.

The spelling of 3843385952 in words is "three billion, eight hundred forty-three million, three hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 49 56 62 74 98 112 124 148 196 217 224 248 259 296 392 434 496 518 592 784 868 992 1036 1147 1184 1519 1568 1736 1813 2072 2137 2294 3038 3472 3626 4144 4274 4588 6076 6944 7252 8029 8288 8548 9176 12152 14504 14959 16058 17096 18352 24304 29008 29918 32116 34192 36704 48608 56203 58016 59836 64232 66247 68384 79069 104713 112406 119672 128464 132494 158138 209426 224812 239344 256928 264988 316276 418852 449624 463729 478688 529976 553483 632552 837704 899248 927458 1059952 1106966 1265104 1675408 1798496 1854916 2119904 2213932 2451139 2530208 3246103 3350816 3709832 3874381 4427864 4902278 6492206 7419664 7748762 8855728 9804556 12984412 14839328 15497524 17157973 17711456 19609112 25968824 30995048 34315946 39218224 51937648 61990096 68631892 78436448 103875296 120105811 123980192 137263784 240211622 274527568 480423244 549055136 960846488 1921692976 3843385952