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42302412 = 223689163
BaseRepresentation
bin1010000101011…
…1101111001100
32221121012000000
42201113233030
541312134122
64110404300
71022364435
oct241275714
987535000
1042302412
1121973479
1212200690
1389c1819
14589248c
153aa90ac
hex2857bcc

42302412 has 84 divisors (see below), whose sum is σ = 112928760. Its totient is φ = 13856832.

The previous prime is 42302399. The next prime is 42302419. The reversal of 42302412 is 21420324.

42302412 is a `hidden beast` number, since 423 + 0 + 241 + 2 = 666.

It is a super-2 number, since 2×423024122 = 3578988122035488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42302419) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 259443 + ... + 259605.

It is an arithmetic number, because the mean of its divisors is an integer number (1344390).

Almost surely, 242302412 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 42302412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56464380).

42302412 is an abundant number, since it is smaller than the sum of its proper divisors (70626348).

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

42302412 is a wasteful number, since it uses less digits than its factorization.

42302412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42302412 is about 6504.0304427332. The cubic root of 42302412 is about 348.4349496097.

Adding to 42302412 its reverse (21420324), we get a palindrome (63722736).

The spelling of 42302412 in words is "forty-two million, three hundred two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 163 178 243 267 324 326 356 486 489 534 652 729 801 972 978 1068 1458 1467 1602 1956 2403 2916 2934 3204 4401 4806 5868 7209 8802 9612 13203 14418 14507 17604 21627 26406 28836 29014 39609 43254 43521 52812 58028 64881 79218 86508 87042 118827 129762 130563 158436 174084 237654 259524 261126 391689 475308 522252 783378 1175067 1566756 2350134 3525201 4700268 7050402 10575603 14100804 21151206 42302412