Search a number
-
+
426124152 = 23344143373
BaseRepresentation
bin11001011001100…
…010001101111000
31002200211100110000
4121121202031320
51333041433102
6110141153000
713362665316
oct3131421570
91080740400
10426124152
111a9599423
12ba85b760
136a38a38c
14408450b6
152762401c
hex19662378

426124152 has 160 divisors (see below), whose sum is σ = 1254440880. Its totient is φ = 134991360.

The previous prime is 426124133. The next prime is 426124157. The reversal of 426124152 is 251421624.

426124152 is a `hidden beast` number, since 4 + 2 + 612 + 41 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426124157) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1142238 + ... + 1142610.

Almost surely, 2426124152 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 426124152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627220440).

426124152 is an abundant number, since it is smaller than the sum of its proper divisors (828316728).

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

426124152 is a wasteful number, since it uses less digits than its factorization.

426124152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 426124152 is about 20642.7748134789. The cubic root of 426124152 is about 752.5096091163.

Adding to 426124152 its reverse (251421624), we get a palindrome (677545776).

It can be divided in two parts, 42612 and 4152, that added together give a palindrome (46764).

The spelling of 426124152 in words is "four hundred twenty-six million, one hundred twenty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 43 54 72 81 82 86 108 123 129 162 164 172 216 246 258 324 328 344 369 373 387 492 516 648 738 746 774 984 1032 1107 1119 1161 1476 1492 1548 1763 2214 2238 2322 2952 2984 3096 3321 3357 3483 3526 4428 4476 4644 5289 6642 6714 6966 7052 8856 8952 9288 10071 10578 13284 13428 13932 14104 15293 15867 16039 20142 21156 26568 26856 27864 30213 30586 31734 32078 40284 42312 45879 47601 48117 60426 61172 63468 64156 80568 91758 95202 96234 120852 122344 126936 128312 137637 142803 144351 183516 190404 192468 241704 275274 285606 288702 367032 380808 384936 412911 433053 550548 571212 577404 657599 825822 866106 1101096 1142424 1154808 1238733 1299159 1315198 1651644 1732212 1972797 2477466 2598318 2630396 3303288 3464424 3945594 4954932 5196636 5260792 5918391 7891188 9909864 10393272 11836782 15782376 17755173 23673564 35510346 47347128 53265519 71020692 106531038 142041384 213062076 426124152