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423525024 = 25341312569
BaseRepresentation
bin11001001111100…
…111101010100000
31002111221022010000
4121033213222200
51331410300044
6110005340000
713331621556
oct3117475240
91074838100
10423525024
111a808368a
12b9a07600
136998a330
1440369bd6
15272add69
hex193e7aa0

423525024 has 120 divisors (see below), whose sum is σ = 1341495540. Its totient is φ = 130305024.

The previous prime is 423524993. The next prime is 423525073. The reversal of 423525024 is 420525324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 413715600 + 9809424 = 20340^2 + 3132^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27412 + ... + 39980.

Almost surely, 2423525024 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 423525024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670747770).

423525024 is an abundant number, since it is smaller than the sum of its proper divisors (917970516).

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

423525024 is a wasteful number, since it uses less digits than its factorization.

423525024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 423525024 is about 20579.7236133044. The cubic root of 423525024 is about 750.9765199931.

The spelling of 423525024 in words is "four hundred twenty-three million, five hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 12569 16848 25138 33696 37707 50276 75414 100552 113121 150828 163397 201104 226242 301656 326794 339363 402208 452484 490191 603312 653588 678726 904968 980382 1018089 1206624 1307176 1357452 1470573 1809936 1960764 2036178 2614352 2714904 2941146 3619872 3921528 4072356 4411719 5228704 5429808 5882292 7843056 8144712 8823438 10859616 11764584 13235157 15686112 16289424 17646876 23529168 26470314 32578848 35293752 47058336 52940628 70587504 105881256 141175008 211762512 423525024