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3868452 = 2233721743
BaseRepresentation
bin1110110000011100100100
321021112112000
432300130210
51442242302
6214525300
744611200
oct16603444
97245460
103868452
112202475
121366830
13a55a33
14729b00
1551631c
hex3b0724

3868452 has 144 divisors (see below), whose sum is σ = 12640320. Its totient is φ = 1016064.

The previous prime is 3868441. The next prime is 3868463. The reversal of 3868452 is 2548683.

It is an interprime number because it is at equal distance from previous prime (3868441) and next prime (3868463).

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

It is a d-powerful number, because it can be written as 313 + 83 + 62 + 85 + 48 + 57 + 221 .

Its product of digits (46080) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89943 + ... + 89985.

It is an arithmetic number, because the mean of its divisors is an integer number (87780).

Almost surely, 23868452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3868452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320160).

3868452 is an abundant number, since it is smaller than the sum of its proper divisors (8771868).

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

3868452 is a wasteful number, since it uses less digits than its factorization.

3868452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3868452 is about 1966.8380716266. The cubic root of 3868452 is about 156.9805106509.

The spelling of 3868452 in words is "three million, eight hundred sixty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 43 49 51 54 63 68 84 86 98 102 108 119 126 129 147 153 172 189 196 204 238 252 258 294 301 306 357 378 387 441 459 476 516 588 602 612 714 731 756 774 833 882 903 918 1071 1161 1204 1323 1428 1462 1548 1666 1764 1806 1836 2107 2142 2193 2322 2499 2646 2709 2924 3213 3332 3612 4214 4284 4386 4644 4998 5117 5292 5418 6321 6426 6579 7497 8127 8428 8772 9996 10234 10836 12642 12852 13158 14994 15351 16254 18963 19737 20468 22491 25284 26316 29988 30702 32508 35819 37926 39474 44982 46053 56889 61404 71638 75852 78948 89964 92106 107457 113778 138159 143276 184212 214914 227556 276318 322371 429828 552636 644742 967113 1289484 1934226 3868452