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423242028 = 223211573
BaseRepresentation
bin11001001110100…
…010100100101100
31002111101220220200
4121032202210230
51331322221103
6105555313500
713326332526
oct3116424454
91074356820
10423242028
111a7a00000
12b98ab890
13698bb591
14402d4a16
15272550a3
hex193a292c

423242028 has 108 divisors (see below), whose sum is σ = 1192968504. Its totient is φ = 126498240.

The previous prime is 423242023. The next prime is 423242033. The reversal of 423242028 is 820242324.

423242028 is a `hidden beast` number, since 4 + 232 + 420 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (423242023) and next prime (423242033).

It is a junction number, because it is equal to n+sod(n) for n = 423241992 and 423242010.

It is not an unprimeable number, because it can be changed into a prime (423242023) 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 35 ways as a sum of consecutive naturals, for example, 5797800 + ... + 5797872.

Almost surely, 2423242028 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 423242028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596484252).

423242028 is an abundant number, since it is smaller than the sum of its proper divisors (769726476).

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

423242028 is an equidigital number, since it uses as much as digits as its factorization.

423242028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 423242028 is about 20572.8468618225. The cubic root of 423242028 is about 750.8092172426.

The spelling of 423242028 in words is "four hundred twenty-three million, two hundred forty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 121 132 146 198 219 242 292 363 396 438 484 657 726 803 876 1089 1314 1331 1452 1606 2178 2409 2628 2662 3212 3993 4356 4818 5324 7227 7986 8833 9636 11979 14454 14641 15972 17666 23958 26499 28908 29282 35332 43923 47916 52998 58564 79497 87846 97163 105996 131769 158994 161051 175692 194326 263538 291489 317988 322102 388652 483153 527076 582978 644204 874467 966306 1068793 1165956 1449459 1748934 1932612 2137586 2898918 3206379 3497868 4275172 5797836 6412758 9619137 11756723 12825516 19238274 23513446 35270169 38476548 47026892 70540338 105810507 141080676 211621014 423242028