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430155252 = 223314926731
BaseRepresentation
bin11001101000111…
…010010111110100
31002222102011002000
4121220322113310
51340104432002
6110403415300
713442154642
oct3150722764
91088364060
10430155252
112008a200a
12100084530
136b16c147
14411b4192
1527b6d61c
hex19a3a5f4

430155252 has 48 divisors (see below), whose sum is σ = 1122744000. Its totient is φ = 142417440.

The previous prime is 430155217. The next prime is 430155293. The reversal of 430155252 is 252551034.

It is a happy number.

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

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, 2727 + ... + 29457.

It is an arithmetic number, because the mean of its divisors is an integer number (23390500).

Almost surely, 2430155252 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 430155252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561372000).

430155252 is an abundant number, since it is smaller than the sum of its proper divisors (692588748).

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

430155252 is a wasteful number, since it uses less digits than its factorization.

430155252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26893 (or 26885 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 430155252 is about 20740.1844736251. The cubic root of 430155252 is about 754.8750590733.

The spelling of 430155252 in words is "four hundred thirty million, one hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1341 1788 2682 4023 5364 8046 16092 26731 53462 80193 106924 160386 240579 320772 481158 721737 962316 1443474 2886948 3982919 7965838 11948757 15931676 23897514 35846271 47795028 71692542 107538813 143385084 215077626 430155252