Search a number
-
+
421849480 = 235137311113
BaseRepresentation
bin11001001001001…
…110100110001000
31002101210011200211
4121021032212020
51330443140410
6105505410504
713311442603
oct3111164610
91071704624
10421849480
111a7139838
12b9339a34
13695217a0
144005133a
152707c68a
hex1924e988

421849480 has 64 divisors (see below), whose sum is σ = 1036269360. Its totient is φ = 153612288.

The previous prime is 421849459. The next prime is 421849507. The reversal of 421849480 is 84948124.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15665764 + 406183716 = 3958^2 + 20154^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 32404 + ... + 43516.

Almost surely, 2421849480 is an apocalyptic number.

421849480 is a gapful number since it is divisible by the number (40) 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 421849480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518134680).

421849480 is an abundant number, since it is smaller than the sum of its proper divisors (614419880).

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

421849480 is a wasteful number, since it uses less digits than its factorization.

421849480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11210 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 421849480 is about 20538.9746579521. The cubic root of 421849480 is about 749.9848767321.

The spelling of 421849480 in words is "four hundred twenty-one million, eight hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 73 104 130 146 260 292 365 520 584 730 949 1460 1898 2920 3796 4745 7592 9490 11113 18980 22226 37960 44452 55565 88904 111130 144469 222260 288938 444520 577876 722345 811249 1155752 1444690 1622498 2889380 3244996 4056245 5778760 6489992 8112490 10546237 16224980 21092474 32449960 42184948 52731185 84369896 105462370 210924740 421849480