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42283933240 = 23523353313009
BaseRepresentation
bin100111011000010100…
…011001111000111000
311001010211200100220111
4213120110121320320
51143044141330430
631231443234104
73024556334203
oct473024317070
9131124610814
1042283933240
1116a291a597a
128240978934
133cab2c0653
142091a5693a
151177282c2a
hex9d8519e38

42283933240 has 64 divisors (see below), whose sum is σ = 99311054400. Its totient is φ = 16172378112.

The previous prime is 42283933229. The next prime is 42283933277. The reversal of 42283933240 is 4233938224.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42283933193 and 42283933202.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3243856 + ... + 3256864.

It is an arithmetic number, because the mean of its divisors is an integer number (1551735225).

Almost surely, 242283933240 is an apocalyptic number.

42283933240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42283933240 is an abundant number, since it is smaller than the sum of its proper divisors (57027121160).

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

42283933240 is a wasteful number, since it uses less digits than its factorization.

42283933240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16576 (or 16572 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 42283933240 in words is "forty-two billion, two hundred eighty-three million, nine hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 3533 7066 13009 14132 17665 26018 28264 35330 52036 65045 70660 81259 104072 130090 141320 162518 260180 299207 325036 406295 520360 598414 650072 812590 1196828 1496035 1625180 2393656 2992070 3250360 5984140 11968280 45960797 91921594 183843188 229803985 367686376 459607970 919215940 1057098331 1838431880 2114196662 4228393324 5285491655 8456786648 10570983310 21141966620 42283933240