Search a number
-
+
403557042 = 23727119333
BaseRepresentation
bin11000000011011…
…100101010110010
31001010100211012010
4120003130222302
51311302311132
6104013343350
713000115100
oct3003345262
91033324163
10403557042
11197885419
12b3197b56
13657b8665
143b84cc70
15256676cc
hex180dcab2

403557042 has 48 divisors (see below), whose sum is σ = 952160832. Its totient is φ = 113672160.

The previous prime is 403557041. The next prime is 403557097. The reversal of 403557042 is 240755304.

It is a super-2 number, since 2×4035570422 = 325716572295579528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (403557041) 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 23 ways as a sum of consecutive naturals, for example, 11208 + ... + 30540.

It is an arithmetic number, because the mean of its divisors is an integer number (19836684).

Almost surely, 2403557042 is an apocalyptic number.

403557042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 403557042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476080416).

403557042 is an abundant number, since it is smaller than the sum of its proper divisors (548603790).

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

403557042 is a wasteful number, since it uses less digits than its factorization.

403557042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19423 (or 19416 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 403557042 is about 20088.7292281020. The cubic root of 403557042 is about 738.9839000425.

The spelling of 403557042 in words is "four hundred three million, five hundred fifty-seven thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 426 497 994 1491 2982 3479 6958 10437 19333 20874 38666 57999 115998 135331 270662 405993 811986 947317 1372643 1894634 2745286 2841951 4117929 5683902 8235858 9608501 19217002 28825503 57651006 67259507 134519014 201778521 403557042