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42355520 = 265132361
BaseRepresentation
bin1010000110010…
…0101101000000
32221200212211222
42201210231000
541320334040
64111454212
71023005324
oct241445500
987625758
1042355520
11219aa369
1212227368
138a0ca4c
1458a7984
153ab9bb5
hex2864b40

42355520 has 28 divisors (see below), whose sum is σ = 100859844. Its totient is φ = 16942080.

The previous prime is 42355513. The next prime is 42355543. The reversal of 42355520 is 2555324.

It can be written as a sum of positive squares in 2 ways, for example, as 25969216 + 16386304 = 5096^2 + 4048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42355520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65861 + ... + 66500.

Almost surely, 242355520 is an apocalyptic number.

42355520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42355520 is an abundant number, since it is smaller than the sum of its proper divisors (58504324).

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

42355520 is a wasteful number, since it uses less digits than its factorization.

42355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132378 (or 132368 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 42355520 is about 6508.1118613619. Note that the first 3 decimals coincide. The cubic root of 42355520 is about 348.5807013056.

It can be divided in two parts, 42355 and 520, that added together give a cube (42875 = 353).

The spelling of 42355520 in words is "forty-two million, three hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 132361 264722 529444 661805 1058888 1323610 2117776 2647220 4235552 5294440 8471104 10588880 21177760 42355520