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423521408 = 271721072
BaseRepresentation
bin11001001111100…
…110110010000000
31002111221010011002
4121033212302000
51331410141113
6110005311132
713331605202
oct3117466200
91074833132
10423521408
111a80809a2
12b9a054a8
13699887ab
1440368772
15272acc58
hex193e6c80

423521408 has 72 divisors (see below), whose sum is σ = 904739745. Its totient is φ = 197441536.

The previous prime is 423521407. The next prime is 423521453. The reversal of 423521408 is 804125324.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 387617344 + 35904064 = 19688^2 + 5992^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14552.

It is not an unprimeable number, because it can be changed into a prime (423521407) 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 8 ways as a sum of consecutive naturals, for example, 3958091 + ... + 3958197.

Almost surely, 2423521408 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 423521408

423521408 is an abundant number, since it is smaller than the sum of its proper divisors (481218337).

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

423521408 is an equidigital number, since it uses as much as digits as its factorization.

423521408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 423521408 is about 20579.6357596533. The cubic root of 423521408 is about 750.9743827413.

The spelling of 423521408 in words is "four hundred twenty-three million, five hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 128 136 214 272 289 428 544 578 856 1088 1156 1712 1819 2176 2312 3424 3638 4624 6848 7276 9248 11449 13696 14552 18496 22898 29104 30923 36992 45796 58208 61846 91592 116416 123692 183184 194633 232832 247384 366368 389266 494768 732736 778532 989536 1465472 1557064 1979072 3114128 3308761 3958144 6228256 6617522 12456512 13235044 24913024 26470088 52940176 105880352 211760704 423521408