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252512124 = 223233779313
BaseRepresentation
bin11110000110100…
…00011101111100
3122121010221111220
433003100131330
51004120341444
641020113340
76154213644
oct1703203574
9577127456
10252512124
1111a59a107
1270695850
1340411c77
1425771524
151727d619
hexf0d077c

252512124 has 96 divisors (see below), whose sum is σ = 641464320. Its totient is φ = 77096448.

The previous prime is 252512107. The next prime is 252512131. The reversal of 252512124 is 421215252.

It is a junction number, because it is equal to n+sod(n) for n = 252512094 and 252512103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806592 + ... + 806904.

It is an arithmetic number, because the mean of its divisors is an integer number (6681920).

Almost surely, 2252512124 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 252512124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320732160).

252512124 is an abundant number, since it is smaller than the sum of its proper divisors (388952196).

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

252512124 is a wasteful number, since it uses less digits than its factorization.

252512124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 252512124 is about 15890.6300693207. The cubic root of 252512124 is about 632.0635484622.

Adding to 252512124 its reverse (421215252), we get a palindrome (673727376).

The spelling of 252512124 in words is "two hundred fifty-two million, five hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 79 92 111 138 148 158 222 237 276 313 316 444 474 626 851 939 948 1252 1702 1817 1878 2553 2923 3404 3634 3756 5106 5451 5846 7199 7268 8769 10212 10902 11581 11692 14398 17538 21597 21804 23162 24727 28796 34743 35076 43194 46324 49454 67229 69486 74181 86388 98908 134458 138972 148362 201687 266363 268916 296724 403374 532726 568721 799089 806748 914899 1065452 1137442 1598178 1706163 1829798 2274884 2744697 3196356 3412326 3659596 5489394 6824652 10978788 21042677 42085354 63128031 84170708 126256062 252512124