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42007540 = 2252100377
BaseRepresentation
bin1010000000111…
…1101111110100
32221001012111211
42200033233310
541223220130
64100211204
71020025651
oct240175764
987035454
1042007540
1121791983
1212099b04
13891a543
145816c28
153a4ba2a
hex280fbf4

42007540 has 12 divisors (see below), whose sum is σ = 88215876. Its totient is φ = 16803008.

The previous prime is 42007529. The next prime is 42007547. The reversal of 42007540 is 4570024.

It can be written as a sum of positive squares in 2 ways, for example, as 13235044 + 28772496 = 3638^2 + 5364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42007547) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1050169 + ... + 1050208.

It is an arithmetic number, because the mean of its divisors is an integer number (7351323).

Almost surely, 242007540 is an apocalyptic number.

It is an amenable number.

42007540 is an abundant number, since it is smaller than the sum of its proper divisors (46208336).

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

42007540 is a wasteful number, since it uses less digits than its factorization.

42007540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100386 (or 2100384 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 42007540 is about 6481.3223959313. The cubic root of 42007540 is about 347.6234642289.

Adding to 42007540 its reverse (4570024), we get a palindrome (46577564).

The spelling of 42007540 in words is "forty-two million, seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 2100377 4200754 8401508 10501885 21003770 42007540