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420323552 = 25113759547
BaseRepresentation
bin11001000011011…
…010000011100000
31002021220122111222
4121003122003200
51330100323202
6105412554212
713262456045
oct3103320340
91067818458
10420323552
111a6297340
12b8922968
136910907c
143db751cc
1526d7a4a2
hex190da0e0

420323552 has 96 divisors (see below), whose sum is σ = 944576640. Its totient is φ = 182407680.

The previous prime is 420323543. The next prime is 420323573. The reversal of 420323552 is 255323024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768143 + ... + 768689.

It is an arithmetic number, because the mean of its divisors is an integer number (9839340).

Almost surely, 2420323552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420323552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472288320).

420323552 is an abundant number, since it is smaller than the sum of its proper divisors (524253088).

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

420323552 is a wasteful number, since it uses less digits than its factorization.

420323552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 420323552 is about 20501.7938727322. The cubic root of 420323552 is about 749.0794940948.

Adding to 420323552 its reverse (255323024), we get a palindrome (675646576).

The spelling of 420323552 in words is "four hundred twenty million, three hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 59 74 88 118 148 176 236 296 352 407 472 547 592 649 814 944 1094 1184 1298 1628 1888 2183 2188 2596 3256 4366 4376 5192 6017 6512 8732 8752 10384 12034 13024 17464 17504 20239 20768 24013 24068 32273 34928 40478 48026 48136 64546 69856 80956 96052 96272 129092 161912 192104 192544 222629 258184 323824 355003 384208 445258 516368 647648 710006 768416 890516 1032736 1194101 1420012 1781032 2388202 2840024 3562064 4776404 5680048 7124128 9552808 11360096 13135111 19105616 26270222 38211232 52540444 105080888 210161776 420323552