Search a number
-
+
420802548 = 223257136447
BaseRepresentation
bin11001000101001…
…110111111110100
31002022210222120120
4121011032333310
51330211140143
6105431131540
713266522405
oct3105167764
91068728516
10420802548
111a6594201
12b8b13bb0
13692460ba
143dc5b9ac
1526e22383
hex1914eff4

420802548 has 24 divisors (see below), whose sum is σ = 985700352. Its totient is φ = 139720704.

The previous prime is 420802541. The next prime is 420802553. The reversal of 420802548 is 845208024.

It is a happy number.

It is a super-3 number, since 3×4208025483 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420802541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65140 + ... + 71307.

It is an arithmetic number, because the mean of its divisors is an integer number (41070848).

Almost surely, 2420802548 is an apocalyptic number.

It is an amenable number.

420802548 is an abundant number, since it is smaller than the sum of its proper divisors (564897804).

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

420802548 is a wasteful number, since it uses less digits than its factorization.

420802548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136711 (or 136709 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 420802548 is about 20513.4723535534. The cubic root of 420802548 is about 749.3639336008.

The spelling of 420802548 in words is "four hundred twenty million, eight hundred two thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 12 257 514 771 1028 1542 3084 136447 272894 409341 545788 818682 1637364 35066879 70133758 105200637 140267516 210401274 420802548