Search a number
-
+
4122468 = 2233721941
BaseRepresentation
bin1111101110011101100100
321202102222000
433232131210
52023404333
6224205300
750016600
oct17563544
97672860
104122468
1123662a9
121469830
13b1453c
14794500
15566713
hex3ee764

4122468 has 144 divisors (see below), whose sum is σ = 13406400. Its totient is φ = 1088640.

The previous prime is 4122421. The next prime is 4122479. The reversal of 4122468 is 8642214.

4122468 is a `hidden beast` number, since 412 + 246 + 8 = 666.

It is a super-2 number, since 2×41224682 = 33989484822048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

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, 100528 + ... + 100568.

It is an arithmetic number, because the mean of its divisors is an integer number (93100).

Almost surely, 24122468 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 4122468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703200).

4122468 is an abundant number, since it is smaller than the sum of its proper divisors (9283932).

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

4122468 is a wasteful number, since it uses less digits than its factorization.

4122468 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 3072, while the sum is 27.

The square root of 4122468 is about 2030.3861701657. The cubic root of 4122468 is about 160.3438957354.

The spelling of 4122468 in words is "four million, one hundred twenty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 41 42 49 54 57 63 76 82 84 98 108 114 123 126 133 147 164 171 189 196 228 246 252 266 287 294 342 369 378 399 441 492 513 532 574 588 684 738 756 779 798 861 882 931 1026 1107 1148 1197 1323 1476 1558 1596 1722 1764 1862 2009 2052 2214 2337 2394 2583 2646 2793 3116 3444 3591 3724 4018 4428 4674 4788 5166 5292 5453 5586 6027 7011 7182 7749 8036 8379 9348 10332 10906 11172 12054 14022 14364 15498 16359 16758 18081 21033 21812 24108 25137 28044 30996 32718 33516 36162 38171 42066 49077 50274 54243 65436 72324 76342 84132 98154 100548 108486 114513 147231 152684 196308 216972 229026 294462 343539 458052 588924 687078 1030617 1374156 2061234 4122468