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42471312 = 24313292347
BaseRepresentation
bin1010001000000…
…0111110010000
32221220202200120
42202000332100
541333040222
64114150240
71024000032
oct242007620
987822616
1042471312
1121a79364
1212282380
138a50670
1458d7c52
153ade15c
hex2880f90

42471312 has 80 divisors (see below), whose sum is σ = 122283840. Its totient is φ = 12612096.

The previous prime is 42471307. The next prime is 42471313. The reversal of 42471312 is 21317424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42471313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16923 + ... + 19269.

It is an arithmetic number, because the mean of its divisors is an integer number (1528548).

Almost surely, 242471312 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 42471312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61141920).

42471312 is an abundant number, since it is smaller than the sum of its proper divisors (79812528).

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

42471312 is a wasteful number, since it uses less digits than its factorization.

42471312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2394 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 42471312 is about 6517.0017646154. The cubic root of 42471312 is about 348.8980635672.

Adding to 42471312 its reverse (21317424), we get a palindrome (63788736).

The spelling of 42471312 in words is "forty-two million, four hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 2347 3016 4524 4694 6032 7041 9048 9388 14082 18096 18776 28164 30511 37552 56328 61022 68063 91533 112656 122044 136126 183066 204189 244088 272252 366132 408378 488176 544504 732264 816756 884819 1089008 1464528 1633512 1769638 2654457 3267024 3539276 5308914 7078552 10617828 14157104 21235656 42471312