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421145505 = 325111750047
BaseRepresentation
bin11001000110100…
…010101110100001
31002100110102000200
4121012202232201
51330303124010
6105442335413
713302451314
oct3106425641
91070412020
10421145505
111a67a8940
12b905a569
1369336231
143dd0a97b
1526e8dcc0
hex191a2ba1

421145505 has 48 divisors (see below), whose sum is σ = 843208704. Its totient is φ = 192176640.

The previous prime is 421145489. The next prime is 421145513. The reversal of 421145505 is 505541124.

421145505 is a `hidden beast` number, since 42 + 114 + 5 + 505 = 666.

It is not a de Polignac number, because 421145505 - 24 = 421145489 is a prime.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 16609 + ... + 33438.

It is an arithmetic number, because the mean of its divisors is an integer number (17566848).

Almost surely, 2421145505 is an apocalyptic number.

421145505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

421145505 is an abundant number, since it is smaller than the sum of its proper divisors (422063199).

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

421145505 is a wasteful number, since it uses less digits than its factorization.

421145505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50086 (or 50083 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 421145505 is about 20521.8299622621. The cubic root of 421145505 is about 749.5674572570.

Adding to 421145505 its reverse (505541124), we get a palindrome (926686629).

The spelling of 421145505 in words is "four hundred twenty-one million, one hundred forty-five thousand, five hundred five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 50047 150141 250235 450423 550517 750705 850799 1651551 2252115 2552397 2752585 4253995 4954653 7657191 8257755 9358789 12761985 24773265 28076367 38285955 46793945 84229101 140381835 421145505