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42512112 = 24323779101
BaseRepresentation
bin1010001000101…
…0111011110000
32221222211122200
42202022323300
541340341422
64115103200
71024230006
oct242127360
987884580
1042512112
1121aa6a85
12122a1b00
138a660c6
145908a76
153aeb2ac
hex288aef0

42512112 has 120 divisors (see below), whose sum is σ = 124962240. Its totient is φ = 13478400.

The previous prime is 42512089. The next prime is 42512123. The reversal of 42512112 is 21121524.

42512112 is a `hidden beast` number, since 42 + 512 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420862 + ... + 420962.

It is an arithmetic number, because the mean of its divisors is an integer number (1041352).

Almost surely, 242512112 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 42512112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62481120).

42512112 is an abundant number, since it is smaller than the sum of its proper divisors (82450128).

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

42512112 is a wasteful number, since it uses less digits than its factorization.

42512112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 222 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 42512112 is about 6520.1312870218. The cubic root of 42512112 is about 349.0097506054.

Adding to 42512112 its reverse (21121524), we get a palindrome (63633636).

It can be divided in two parts, 42512 and 112, that added together give a palindrome (42624).

The spelling of 42512112 in words is "forty-two million, five hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 79 101 111 144 148 158 202 222 237 296 303 316 333 404 444 474 592 606 632 666 711 808 888 909 948 1212 1264 1332 1422 1616 1776 1818 1896 2424 2664 2844 2923 3636 3737 3792 4848 5328 5688 5846 7272 7474 7979 8769 11211 11376 11692 14544 14948 15958 17538 22422 23384 23937 26307 29896 31916 33633 35076 44844 46768 47874 52614 59792 63832 67266 70152 71811 89688 95748 105228 127664 134532 140304 143622 179376 191496 210456 269064 287244 295223 382992 420912 538128 574488 590446 885669 1148976 1180892 1771338 2361784 2657007 3542676 4723568 5314014 7085352 10628028 14170704 21256056 42512112