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42780507 = 3711414517
BaseRepresentation
bin1010001100110…
…0011101011011
32222111110211020
42203030131123
541422434012
64124533523
71026425340
oct243143533
988443736
1042780507
112216a6a0
12123b12a3
138b2b313
1459787c7
153b50a8c
hex28cc75b

42780507 has 32 divisors (see below), whose sum is σ = 72866304. Its totient is φ = 21676800.

The previous prime is 42780503. The next prime is 42780523. The reversal of 42780507 is 70508724.

It is not a de Polignac number, because 42780507 - 22 = 42780503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42780503) 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, 7213 + ... + 11729.

It is an arithmetic number, because the mean of its divisors is an integer number (2277072).

Almost surely, 242780507 is an apocalyptic number.

42780507 is a deficient number, since it is larger than the sum of its proper divisors (30085797).

42780507 is a wasteful number, since it uses less digits than its factorization.

42780507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579.

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 42780507 is about 6540.6809278545. The cubic root of 42780507 is about 349.7426870656.

The spelling of 42780507 in words is "forty-two million, seven hundred eighty thousand, five hundred seven".

Divisors: 1 3 7 11 21 33 41 77 123 231 287 451 861 1353 3157 4517 9471 13551 31619 49687 94857 149061 185197 347809 555591 1043427 1296379 2037167 3889137 6111501 14260169 42780507