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42852216 = 233113741107
BaseRepresentation
bin1010001101110…
…1111101111000
32222122010012010
42203131331320
541432232331
64130245520
71030144401
oct243357570
988563163
1042852216
1122209560
12124268a0
138b54b54
1459969a8
153b66e46
hex28ddf78

42852216 has 128 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 12211200.

The previous prime is 42852193. The next prime is 42852217. The reversal of 42852216 is 61225824.

It is a super-2 number, since 2×428522162 = 3672624832221312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42852217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400435 + ... + 400541.

It is an arithmetic number, because the mean of its divisors is an integer number (969570).

Almost surely, 242852216 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 42852216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

42852216 is an abundant number, since it is smaller than the sum of its proper divisors (81252744).

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

42852216 is a wasteful number, since it uses less digits than its factorization.

42852216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 42852216 is about 6546.1604013345. The cubic root of 42852216 is about 349.9379917360.

It can be divided in two parts, 42 and 852216, that added together give a palindrome (852258).

The spelling of 42852216 in words is "forty-two million, eight hundred fifty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 41 44 66 74 82 88 107 111 123 132 148 164 214 222 246 264 296 321 328 407 428 444 451 492 642 814 856 888 902 984 1177 1221 1284 1353 1517 1628 1804 2354 2442 2568 2706 3034 3256 3531 3608 3959 4387 4551 4708 4884 5412 6068 7062 7918 8774 9102 9416 9768 10824 11877 12136 13161 14124 15836 16687 17548 18204 23754 26322 28248 31672 33374 35096 36408 43549 47508 48257 50061 52644 66748 87098 95016 96514 100122 105288 130647 133496 144771 162319 174196 193028 200244 261294 289542 324638 348392 386056 400488 486957 522588 579084 649276 973914 1045176 1158168 1298552 1785509 1947828 3571018 3895656 5356527 7142036 10713054 14284072 21426108 42852216