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421049776 = 24723792069
BaseRepresentation
bin11001000110001…
…011010110110000
31002100021112201011
4121012023112300
51330242043101
6105440320304
713301602240
oct3106132660
91070245634
10421049776
111a6742a24
12b9013094
13693017a4
143dcc3b20
1526e70751
hex1918b5b0

421049776 has 80 divisors (see below), whose sum is σ = 985651200. Its totient is φ = 170337024.

The previous prime is 421049773. The next prime is 421049803. The reversal of 421049776 is 677940124.

It is not an unprimeable number, because it can be changed into a prime (421049771) by changing a digit.

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, 202470 + ... + 204538.

It is an arithmetic number, because the mean of its divisors is an integer number (12320640).

Almost surely, 2421049776 is an apocalyptic number.

421049776 is a gapful number since it is divisible by the number (46) 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 421049776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492825600).

421049776 is an abundant number, since it is smaller than the sum of its proper divisors (564601424).

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

421049776 is a wasteful number, since it uses less digits than its factorization.

421049776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 421049776 is about 20519.4974597333. The cubic root of 421049776 is about 749.5106591672.

The spelling of 421049776 in words is "four hundred twenty-one million, forty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 79 92 112 158 161 184 316 322 368 553 632 644 1106 1264 1288 1817 2069 2212 2576 3634 4138 4424 7268 8276 8848 12719 14483 14536 16552 25438 28966 29072 33104 47587 50876 57932 95174 101752 115864 163451 190348 203504 231728 326902 333109 380696 653804 666218 761392 1144157 1307608 1332436 2288314 2615216 2664872 3759373 4576628 5329744 7518746 9153256 15037492 18306512 26315611 30074984 52631222 60149968 105262444 210524888 421049776