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420791052 = 2231121791619
BaseRepresentation
bin11001000101001…
…100001100001100
31002022210101210210
4121011030030030
51330210303202
6105431002420
713266444033
oct3105141414
91068711723
10420791052
111a6586600
12b8b09410
1369240ab6
143dc5771a
1526e1dc6c
hex1914c30c

420791052 has 72 divisors (see below), whose sum is σ = 1085918400. Its totient is φ = 126721760.

The previous prime is 420791029. The next prime is 420791057. The reversal of 420791052 is 250197024.

It is not an unprimeable number, because it can be changed into a prime (420791057) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 259099 + ... + 260717.

It is an arithmetic number, because the mean of its divisors is an integer number (15082200).

Almost surely, 2420791052 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 420791052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542959200).

420791052 is an abundant number, since it is smaller than the sum of its proper divisors (665127348).

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

420791052 is a wasteful number, since it uses less digits than its factorization.

420791052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 420791052 is about 20513.1921455438. The cubic root of 420791052 is about 749.3571095244.

It can be divided in two parts, 4207 and 91052, that added together give a palindrome (95259).

The spelling of 420791052 in words is "four hundred twenty million, seven hundred ninety-one thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 179 242 358 363 484 537 716 726 1074 1452 1619 1969 2148 3238 3938 4857 5907 6476 7876 9714 11814 17809 19428 21659 23628 35618 43318 53427 64977 71236 86636 106854 129954 195899 213708 259908 289801 391798 579602 587697 783596 869403 1159204 1175394 1738806 2350788 3187811 3477612 6375622 9563433 12751244 19126866 35065921 38253732 70131842 105197763 140263684 210395526 420791052