Search a number
-
+
4153230424 = 237175973943
BaseRepresentation
bin1111011110001101…
…0100010001011000
3101201110000222002001
43313203110101120
532001211333144
61524042050344
7204630606340
oct36743242130
911643028061
104153230424
111841432542
1297aaa99b4
135125b1ac5
142b583dd20
15194941bd4
hexf78d4458

4153230424 has 64 divisors (see below), whose sum is σ = 9583142400. Its totient is φ = 1646836224.

The previous prime is 4153230401. The next prime is 4153230503. The reversal of 4153230424 is 4240323514.

It is a happy number.

4153230424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4153230392 and 4153230401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19197 + ... + 93139.

It is an arithmetic number, because the mean of its divisors is an integer number (149736600).

Almost surely, 24153230424 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 4153230424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791571200).

4153230424 is an abundant number, since it is smaller than the sum of its proper divisors (5429911976).

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

4153230424 is a wasteful number, since it uses less digits than its factorization.

4153230424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74032 (or 74028 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 4153230424 is about 64445.5617090890. The cubic root of 4153230424 is about 1607.4174384914.

Adding to 4153230424 its reverse (4240323514), we get a palindrome (8393553938).

The spelling of 4153230424 in words is "four billion, one hundred fifty-three million, two hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 59 68 118 119 136 236 238 413 472 476 826 952 1003 1652 2006 3304 4012 7021 8024 14042 28084 56168 73943 147886 295772 517601 591544 1035202 1257031 2070404 2514062 4140808 4362637 5028124 8725274 8799217 10056248 17450548 17598434 30538459 34901096 35196868 61076918 70393736 74164829 122153836 148329658 244307672 296659316 519153803 593318632 1038307606 2076615212 4153230424