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403200042 = 23779137887
BaseRepresentation
bin11000000010000…
…101100000101010
31001002200200110220
4120002011200222
51311204400132
6104001550510
712664100220
oct3002054052
91032620426
10403200042
11197661183
12b3045436
13656c200b
143b798b10
15255e6a2c
hex1808582a

403200042 has 64 divisors (see below), whose sum is σ = 941137920. Its totient is φ = 112784256.

The previous prime is 403200023. The next prime is 403200089. The reversal of 403200042 is 240002304.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 403199994 and 403200030.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454123 + ... + 455009.

It is an arithmetic number, because the mean of its divisors is an integer number (14705280).

Almost surely, 2403200042 is an apocalyptic number.

403200042 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 403200042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470568960).

403200042 is an abundant number, since it is smaller than the sum of its proper divisors (537937878).

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

403200042 is a wasteful number, since it uses less digits than its factorization.

403200042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115.

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 403200042 is about 20079.8416826428. The cubic root of 403200042 is about 738.7659258307.

Adding to 403200042 its reverse (240002304), we get a palindrome (643202346).

The spelling of 403200042 in words is "four hundred three million, two hundred thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 79 137 158 237 274 411 474 553 822 887 959 1106 1659 1774 1918 2661 2877 3318 5322 5754 6209 10823 12418 18627 21646 32469 37254 64938 70073 75761 121519 140146 151522 210219 227283 243038 364557 420438 454566 490511 729114 850633 981022 1471533 1701266 2551899 2943066 5103798 9600001 19200002 28800003 57600006 67200007 134400014 201600021 403200042