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42950640 = 2435199419
BaseRepresentation
bin1010001111010…
…1111111110000
32222211010012110
42203311333300
541443410030
64132325320
71031034345
oct243657760
988733173
1042950640
11222764a7
1212473840
138b8a8a5
1459c07cc
153b861b0
hex28f5ff0

42950640 has 80 divisors (see below), whose sum is σ = 140169600. Its totient is φ = 10849536.

The previous prime is 42950639. The next prime is 42950651. The reversal of 42950640 is 4605924.

42950640 = 11432 + 11442 + ... + 11742.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42950598 and 42950607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150 + ... + 9269.

It is an arithmetic number, because the mean of its divisors is an integer number (1752120).

Almost surely, 242950640 is an apocalyptic number.

42950640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70084800).

42950640 is an abundant number, since it is smaller than the sum of its proper divisors (97218960).

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

42950640 is a wasteful number, since it uses less digits than its factorization.

42950640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9454 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42950640 is about 6553.6737788816. The cubic root of 42950640 is about 350.2057022101.

The spelling of 42950640 in words is "forty-two million, nine hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 9419 18838 28257 37676 47095 56514 75352 94190 113028 141285 150704 178961 188380 226056 282570 357922 376760 452112 536883 565140 715844 753520 894805 1073766 1130280 1431688 1789610 2147532 2260560 2684415 2863376 3579220 4295064 5368830 7158440 8590128 10737660 14316880 21475320 42950640