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42054503200 = 255252568129
BaseRepresentation
bin100111001010101001…
…001100101100100000
311000112211222010001121
4213022221030230200
51142111423100300
631153005542024
73016102244023
oct471251145440
9130484863047
1042054503200
1116920741776
128197b74914
133c72900928
14206d3b31ba
15116206381a
hex9caa4cb20

42054503200 has 36 divisors (see below), whose sum is σ = 102665557890. Its totient is φ = 16821800960.

The previous prime is 42054503191. The next prime is 42054503201. The reversal of 42054503200 is 230545024.

It can be written as a sum of positive squares in 3 ways, for example, as 24544862224 + 17509640976 = 156668^2 + 132324^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42054503201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26283265 + ... + 26284864.

Almost surely, 242054503200 is an apocalyptic number.

42054503200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42054503200 is an abundant number, since it is smaller than the sum of its proper divisors (60611054690).

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

42054503200 is a wasteful number, since it uses less digits than its factorization.

42054503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52568149 (or 52568136 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 42054503200 in words is "forty-two billion, fifty-four million, five hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 52568129 105136258 210272516 262840645 420545032 525681290 841090064 1051362580 1314203225 1682180128 2102725160 2628406450 4205450320 5256812900 8410900640 10513625800 21027251600 42054503200