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421749504 = 283411432
BaseRepresentation
bin11001001000110…
…110001100000000
31002101121002120000
4121020312030000
51330431441004
6105503320000
713310545251
oct3110661400
91071532500
10421749504
111a7080710
12b92b0000
13694b8127
1440026b28
152705cc39
hex19236300

421749504 has 270 divisors, whose sum is σ = 1404552996. Its totient is φ = 124830720.

The previous prime is 421749469. The next prime is 421749509. The reversal of 421749504 is 405947124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (421749509) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9808107 + ... + 9808149.

Almost surely, 2421749504 is an apocalyptic number.

421749504 is a gapful number since it is divisible by the number (44) 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 421749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702276498).

421749504 is an abundant number, since it is smaller than the sum of its proper divisors (982803492).

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

421749504 is an equidigital number, since it uses as much as digits as its factorization.

421749504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 421749504 is about 20536.5407018806. The cubic root of 421749504 is about 749.9256246246.

The spelling of 421749504 in words is "four hundred twenty-one million, seven hundred forty-nine thousand, five hundred four".