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421524480 = 21035132111
BaseRepresentation
bin11001000111111…
…111010000000000
31002101011122212210
4121013333100000
51330402240410
6105454422120
713305620226
oct3107772000
91071148783
10421524480
111a6a37643
12b9201940
1369439890
143dda8b16
1527016220
hex191ff400

421524480 has 176 divisors, whose sum is σ = 1452616704. Its totient is φ = 103710720.

The previous prime is 421524479. The next prime is 421524553. The reversal of 421524480 is 84425124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 198625 + ... + 200735.

It is an arithmetic number, because the mean of its divisors is an integer number (8253504).

Almost surely, 2421524480 is an apocalyptic number.

421524480 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 421524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726308352).

421524480 is an abundant number, since it is smaller than the sum of its proper divisors (1031092224).

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

421524480 is a wasteful number, since it uses less digits than its factorization.

421524480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 421524480 is about 20531.0613461652. The cubic root of 421524480 is about 749.7922268902.

The spelling of 421524480 in words is "four hundred twenty-one million, five hundred twenty-four thousand, four hundred eighty".