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2042433400 = 235271458881
BaseRepresentation
bin111100110111101…
…0000111101111000
312021100012100220111
41321233100331320
513140330332100
6534400234104
7101420253220
oct17157207570
95240170814
102042433400
1195899a497
1249000b934
132671b3697
14155383080
15be4956ba
hex79bd0f78

2042433400 has 48 divisors (see below), whose sum is σ = 5427041040. Its totient is φ = 700262400.

The previous prime is 2042433361. The next prime is 2042433403. The reversal of 2042433400 is 43342402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042433403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728041 + ... + 730840.

It is an arithmetic number, because the mean of its divisors is an integer number (113063355).

Almost surely, 22042433400 is an apocalyptic number.

2042433400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042433400 is an abundant number, since it is smaller than the sum of its proper divisors (3384607640).

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

2042433400 is a wasteful number, since it uses less digits than its factorization.

2042433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458904 (or 1458895 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2042433400 is about 45193.2893248544. The cubic root of 2042433400 is about 1268.7692211572.

Adding to 2042433400 its reverse (43342402), we get a palindrome (2085775802).

It can be divided in two parts, 20424 and 33400, that added together give a square (53824 = 2322).

The spelling of 2042433400 in words is "two billion, forty-two million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1458881 2917762 5835524 7294405 10212167 11671048 14588810 20424334 29177620 36472025 40848668 51060835 58355240 72944050 81697336 102121670 145888100 204243340 255304175 291776200 408486680 510608350 1021216700 2042433400