Search a number
-
+
421476000 = 253531131103
BaseRepresentation
bin11001000111110…
…011011010100000
31002101002012101020
4121013303122200
51330344213000
6105453405440
713305326001
oct3107633240
91071065336
10421476000
111a6a04180
12b9199880
13694207aa
143dd951a8
1527006ba0
hex191f36a0

421476000 has 384 divisors, whose sum is σ = 1569964032. Its totient is φ = 97920000.

The previous prime is 421475987. The next prime is 421476007. The reversal of 421476000 is 674124.

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 (421476007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4091949 + ... + 4092051.

It is an arithmetic number, because the mean of its divisors is an integer number (4088448).

Almost surely, 2421476000 is an apocalyptic number.

421476000 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 421476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784982016).

421476000 is an abundant number, since it is smaller than the sum of its proper divisors (1148488032).

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

421476000 is a wasteful number, since it uses less digits than its factorization.

421476000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 421476000 is about 20529.8806620984. The cubic root of 421476000 is about 749.7634809751.

The spelling of 421476000 in words is "four hundred twenty-one million, four hundred seventy-six thousand".