Search a number
-
+
42015024 = 2434171907
BaseRepresentation
bin1010000001000…
…1100100110000
32221001120210000
42200101210300
541223440044
64100310000
71020056532
oct240214460
987046700
1042015024
1121797567
12120a2300
138920a7c
145819852
153a4dd69
hex2811930

42015024 has 100 divisors (see below), whose sum is σ = 128824344. Its totient is φ = 13174272.

The previous prime is 42015019. The next prime is 42015047. The reversal of 42015024 is 42051024.

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

It is a junction number, because it is equal to n+sod(n) for n = 42014988 and 42015006.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21079 + ... + 22985.

Almost surely, 242015024 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 42015024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64412172).

42015024 is an abundant number, since it is smaller than the sum of its proper divisors (86809320).

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

42015024 is a wasteful number, since it uses less digits than its factorization.

42015024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42015024 is about 6481.8997215323. The cubic root of 42015024 is about 347.6441070271.

Adding to 42015024 its reverse (42051024), we get a palindrome (84066048).

It can be divided in two parts, 4 and 2015024, that added together give a triangular number (2015028 = T2007).

The spelling of 42015024 in words is "forty-two million, fifteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 1907 2448 2754 3672 3814 5508 5721 7344 7628 11016 11442 15256 17163 22032 22884 30512 32419 34326 45768 51489 64838 68652 91536 97257 102978 129676 137304 154467 194514 205956 259352 274608 291771 308934 389028 411912 518704 583542 617868 778056 823824 875313 1167084 1235736 1556112 1750626 2334168 2471472 2625939 3501252 4668336 5251878 7002504 10503756 14005008 21007512 42015024