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42718464 = 283218541
BaseRepresentation
bin1010001011110…
…1010100000000
32222101022201100
42202331110000
541413442324
64123334400
71026046425
oct242752400
988338640
1042718464
1122128018
1212381400
138b08cc9
14595dd4c
153b3c4c9
hex28bd500

42718464 has 54 divisors (see below), whose sum is σ = 123174506. Its totient is φ = 14238720.

The previous prime is 42718451. The next prime is 42718469. The reversal of 42718464 is 46481724.

It can be written as a sum of positive squares in only one way, i.e., 36000000 + 6718464 = 6000^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42718469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6967 + ... + 11574.

Almost surely, 242718464 is an apocalyptic number.

It is an amenable number.

42718464 is an abundant number, since it is smaller than the sum of its proper divisors (80456042).

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

42718464 is a wasteful number, since it uses less digits than its factorization.

42718464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18563 (or 18546 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 42718464 is about 6535.9363521993. The cubic root of 42718464 is about 349.5735322697.

The spelling of 42718464 in words is "forty-two million, seven hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 18541 37082 55623 74164 111246 148328 166869 222492 296656 333738 444984 593312 667476 889968 1186624 1334952 1779936 2373248 2669904 3559872 4746496 5339808 7119744 10679616 14239488 21359232 42718464