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421912480 = 255112193137
BaseRepresentation
bin11001001001011…
…101111110100000
31002101220101010011
4121021131332200
51331002144410
6105511014304
713312124353
oct3111357640
91071811104
10421912480
111a7182100
12b936a394
1369544372
144006a29a
152709118a
hex1925dfa0

421912480 has 288 divisors, whose sum is σ = 1222663680. Its totient is φ = 136857600.

The previous prime is 421912457. The next prime is 421912523. The reversal of 421912480 is 84219124.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11403022 + ... + 11403058.

It is an arithmetic number, because the mean of its divisors is an integer number (4245360).

Almost surely, 2421912480 is an apocalyptic number.

421912480 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 421912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611331840).

421912480 is an abundant number, since it is smaller than the sum of its proper divisors (800751200).

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

421912480 is a wasteful number, since it uses less digits than its factorization.

421912480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 421912480 is about 20540.5082702449. The cubic root of 421912480 is about 750.0222097127.

The spelling of 421912480 in words is "four hundred twenty-one million, nine hundred twelve thousand, four hundred eighty".