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2042063296 = 26713350629
BaseRepresentation
bin111100110110111…
…0110100111000000
312021022111120012221
41321231312213000
513140232011141
6534344300424
7101414152210
oct17155664700
95238446187
102042063296
11958767419
1248ba71714
132670b40a0
141552c8240
15be420bd1
hex79b769c0

2042063296 has 56 divisors (see below), whose sum is σ = 4987361120. Its totient is φ = 807846912.

The previous prime is 2042063293. The next prime is 2042063299. The reversal of 2042063296 is 6923602402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2042063293) and next prime (2042063299).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042063293) 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, 169491 + ... + 181138.

It is an arithmetic number, because the mean of its divisors is an integer number (89060020).

Almost surely, 22042063296 is an apocalyptic number.

2042063296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2042063296 is an abundant number, since it is smaller than the sum of its proper divisors (2945297824).

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

2042063296 is a wasteful number, since it uses less digits than its factorization.

2042063296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350661 (or 350651 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 2042063296 is about 45189.1944606230. The cubic root of 2042063296 is about 1268.6925797466.

Adding to 2042063296 its reverse (6923602402), we get a palindrome (8965665698).

The spelling of 2042063296 in words is "two billion, forty-two million, sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 350629 701258 1402516 2454403 2805032 4558177 4908806 5610064 9116354 9817612 11220128 18232708 19635224 22440256 31907239 36465416 39270448 63814478 72930832 78540896 127628956 145861664 157081792 255257912 291723328 510515824 1021031648 2042063296