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42754500 = 2233533167
BaseRepresentation
bin1010001100011…
…0000111000100
32222110011011000
42203012013010
541421121000
64124213300
71026256455
oct243060704
988404130
1042754500
11221520a8
121239a230
138b1c529
14596d12c
153b48000
hex28c61c4

42754500 has 96 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 11397600.

The previous prime is 42754489. The next prime is 42754501. The reversal of 42754500 is 545724.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42754501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11917 + ... + 15083.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 242754500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42754500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

42754500 is an abundant number, since it is smaller than the sum of its proper divisors (95623740).

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

42754500 is a wasteful number, since it uses less digits than its factorization.

42754500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 42754500 is about 6538.6925298564. The cubic root of 42754500 is about 349.6718011841.

The spelling of 42754500 in words is "forty-two million, seven hundred fifty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1125 1350 1500 2250 2700 3167 3375 4500 6334 6750 9501 12668 13500 15835 19002 28503 31670 38004 47505 57006 63340 79175 85509 95010 114012 142515 158350 171018 190020 237525 285030 316700 342036 395875 427545 475050 570060 712575 791750 855090 950100 1187625 1425150 1583500 1710180 2137725 2375250 2850300 3562875 4275450 4750500 7125750 8550900 10688625 14251500 21377250 42754500