Search a number
-
+
252410424 = 23371788379
BaseRepresentation
bin11110000101101…
…11101000111000
3122120221210000020
433002313220320
51004104113144
641014010440
76153311310
oct1702675070
9576853006
10252410424
1111a52a762
1270646a20
13403a78a6
1425746440
151725d419
hexf0b7a38

252410424 has 64 divisors (see below), whose sum is σ = 763603200. Its totient is φ = 67874304.

The previous prime is 252410423. The next prime is 252410429. The reversal of 252410424 is 424014252.

It is a happy number.

It is a super-2 number, since 2×2524104242 = 127422044287719552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 252410394 and 252410403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252410423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41334 + ... + 47045.

It is an arithmetic number, because the mean of its divisors is an integer number (11931300).

Almost surely, 2252410424 is an apocalyptic number.

252410424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252410424 is an abundant number, since it is smaller than the sum of its proper divisors (511192776).

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

252410424 is a wasteful number, since it uses less digits than its factorization.

252410424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88412 (or 88408 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 252410424 is about 15887.4297480744. The cubic root of 252410424 is about 631.9786819173.

Adding to 252410424 its reverse (424014252), we get a palindrome (676424676).

The spelling of 252410424 in words is "two hundred fifty-two million, four hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 88379 176758 265137 353516 530274 618653 707032 1060548 1237306 1502443 1855959 2121096 2474612 3004886 3711918 4507329 4949224 6009772 7423836 9014658 10517101 12019544 14847672 18029316 21034202 31551303 36058632 42068404 63102606 84136808 126205212 252410424