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2043200032 = 25235352379
BaseRepresentation
bin111100111001000…
…1100001000100000
312021101122022112021
41321302030020200
513141024400112
6534424511224
7101426625256
oct17162141040
95241568467
102043200032
11959373475
1249031b514
132673c1603
141555025d6
15be597907
hex79c8c220

2043200032 has 48 divisors (see below), whose sum is σ = 4276722240. Its totient is φ = 958726912.

The previous prime is 2043200023. The next prime is 2043200039. The reversal of 2043200032 is 2300023402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2043199979 and 2043200015.

It is not an unprimeable number, because it can be changed into a prime (2043200039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12819 + ... + 65197.

It is an arithmetic number, because the mean of its divisors is an integer number (89098380).

Almost surely, 22043200032 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 2043200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138361120).

2043200032 is an abundant number, since it is smaller than the sum of its proper divisors (2233522208).

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

2043200032 is a wasteful number, since it uses less digits than its factorization.

2043200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52465 (or 52457 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2043200032 is about 45201.7702308217. The cubic root of 2043200032 is about 1268.9279464326.

Adding to 2043200032 its reverse (2300023402), we get a palindrome (4343223434).

The spelling of 2043200032 in words is "two billion, forty-three million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 368 424 736 848 1219 1696 2438 4876 9752 19504 39008 52379 104758 209516 419032 838064 1204717 1676128 2409434 2776087 4818868 5552174 9637736 11104348 19275472 22208696 38550944 44417392 63850001 88834784 127700002 255400004 510800008 1021600016 2043200032