Search a number
-
+
4124008152 = 23321123791249
BaseRepresentation
bin1111010111001111…
…0101111011011000
3101122102001022122200
43311303311323120
531421221230102
61521115450200
7204124330245
oct36563657330
911572038580
104124008152
111826993400
12971156960
1350951cb14
142b19d45cc
151920bd51c
hexf5cf5ed8

4124008152 has 144 divisors (see below), whose sum is σ = 12319125000. Its totient is φ = 1245404160.

The previous prime is 4124008139. The next prime is 4124008153. The reversal of 4124008152 is 2518004214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124008153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3301224 + ... + 3302472.

Almost surely, 24124008152 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 4124008152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159562500).

4124008152 is an abundant number, since it is smaller than the sum of its proper divisors (8195116848).

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

4124008152 is a wasteful number, since it uses less digits than its factorization.

4124008152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4124008152 is about 64218.4409029058. The cubic root of 4124008152 is about 1603.6386138250.

The spelling of 4124008152 in words is "four billion, one hundred twenty-four million, eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 379 396 484 726 758 792 968 1089 1137 1249 1452 1516 2178 2274 2498 2904 3032 3411 3747 4169 4356 4548 4996 6822 7494 8338 8712 9096 9992 11241 12507 13644 13739 14988 16676 22482 25014 27288 27478 29976 33352 37521 41217 44964 45859 50028 54956 75042 82434 89928 91718 100056 109912 123651 137577 150084 151129 164868 183436 247302 275154 300168 302258 329736 366872 412731 453387 473371 494604 550308 604516 825462 906774 946742 989208 1100616 1209032 1360161 1420113 1650924 1813548 1893484 2720322 2840226 3301848 3627096 3786968 4260339 5207081 5440644 5680452 8520678 10414162 10881288 11360904 15621243 17041356 20828324 31242486 34082712 41656648 46863729 57277891 62484972 93727458 114555782 124969944 171833673 187454916 229111564 343667346 374909832 458223128 515501019 687334692 1031002038 1374669384 2062004076 4124008152