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42573929440 = 255738012437
BaseRepresentation
bin100111101001100110…
…101001101111100000
311001220001100200220111
4213221212221233200
51144142411220230
631320323021104
73035010300160
oct475146515740
9131801320814
1042573929440
1117067967359
128301b0a794
1340263c7c33
1420bc3845a0
15119296792a
hex9e99a9be0

42573929440 has 48 divisors (see below), whose sum is σ = 114949612512. Its totient is φ = 14596775424.

The previous prime is 42573929393. The next prime is 42573929471. The reversal of 42573929440 is 4492937524.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19005099 + ... + 19007338.

It is an arithmetic number, because the mean of its divisors is an integer number (2394783594).

Almost surely, 242573929440 is an apocalyptic number.

42573929440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42573929440 is an abundant number, since it is smaller than the sum of its proper divisors (72375683072).

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

42573929440 is a wasteful number, since it uses less digits than its factorization.

42573929440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38012459 (or 38012451 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 42573929440 in words is "forty-two billion, five hundred seventy-three million, nine hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 38012437 76024874 152049748 190062185 266087059 304099496 380124370 532174118 608198992 760248740 1064348236 1216397984 1330435295 1520497480 2128696472 2660870590 3040994960 4257392944 5321741180 6081989920 8514785888 10643482360 21286964720 42573929440