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430140048 = 243131634229
BaseRepresentation
bin11001101000110…
…110101010010000
31002222101101012220
4121220312222100
51340103440143
6110403221040
713442062422
oct3150665220
91088341186
10430140048
11200891648
12100077780
136b165250
14411ac812
1527b68d83
hex19a36a90

430140048 has 80 divisors (see below), whose sum is σ = 1204297920. Its totient is φ = 131507712.

The previous prime is 430140047. The next prime is 430140049. The reversal of 430140048 is 840041034.

It is an interprime number because it is at equal distance from previous prime (430140047) and next prime (430140049).

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

It is not an unprimeable number, because it can be changed into a prime (430140047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99598 + ... + 103826.

It is an arithmetic number, because the mean of its divisors is an integer number (15053724).

Almost surely, 2430140048 is an apocalyptic number.

430140048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430140048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602148960).

430140048 is an abundant number, since it is smaller than the sum of its proper divisors (774157872).

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

430140048 is a wasteful number, since it uses less digits than its factorization.

430140048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 430140048 is about 20739.8179355558. The cubic root of 430140048 is about 754.8661651871.

The spelling of 430140048 in words is "four hundred thirty million, one hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 163 208 312 326 489 624 652 978 1304 1956 2119 2608 3912 4229 4238 6357 7824 8458 8476 12687 12714 16916 16952 25374 25428 33832 33904 50748 50856 54977 67664 101496 101712 109954 164931 202992 219908 329862 439816 659724 689327 879632 1319448 1378654 2067981 2638896 2757308 4135962 5514616 8271924 8961251 11029232 16543848 17922502 26883753 33087696 35845004 53767506 71690008 107535012 143380016 215070024 430140048