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42216552 = 2334741227
BaseRepresentation
bin1010000100001…
…0110001101000
32221102211020000
42201002301220
541301412202
64104503000
71021556220
oct241026150
987384200
1042216552
1121914a14
121217aa60
138991711
14586d080
153a8d91c
hex2842c68

42216552 has 160 divisors (see below), whose sum is σ = 139043520. Its totient is φ = 11715840.

The previous prime is 42216541. The next prime is 42216589. The reversal of 42216552 is 25561224.

42216552 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 655 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185863 + ... + 186089.

It is an arithmetic number, because the mean of its divisors is an integer number (869022).

Almost surely, 242216552 is an apocalyptic number.

42216552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42216552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69521760).

42216552 is an abundant number, since it is smaller than the sum of its proper divisors (96826968).

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

42216552 is a wasteful number, since it uses less digits than its factorization.

42216552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 42216552 is about 6497.4265674958. The cubic root of 42216552 is about 348.1990537784.

Adding to 42216552 its reverse (25561224), we get a palindrome (67777776).

The spelling of 42216552 in words is "forty-two million, two hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 81 82 84 108 123 126 162 164 168 189 216 227 246 252 287 324 328 369 378 454 492 504 567 574 648 681 738 756 861 908 984 1107 1134 1148 1362 1476 1512 1589 1722 1816 2043 2214 2268 2296 2583 2724 2952 3178 3321 3444 4086 4428 4536 4767 5166 5448 6129 6356 6642 6888 7749 8172 8856 9307 9534 10332 12258 12712 13284 14301 15498 16344 18387 18614 19068 20664 23247 24516 26568 27921 28602 30996 36774 37228 38136 42903 46494 49032 55842 57204 61992 65149 73548 74456 83763 85806 92988 111684 114408 128709 130298 147096 167526 171612 185976 195447 223368 251289 257418 260596 335052 343224 390894 502578 514836 521192 586341 670104 753867 781788 1005156 1029672 1172682 1507734 1563576 1759023 2010312 2345364 3015468 3518046 4690728 5277069 6030936 7036092 10554138 14072184 21108276 42216552