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42852744 = 23321161887
BaseRepresentation
bin1010001101111…
…0000110001000
32222122010220200
42203132012020
541432241434
64130252200
71030146054
oct243360610
988563820
1042852744
11222099a0
1212427060
138b5516c
145996c64
153b67199
hex28de188

42852744 has 96 divisors (see below), whose sum is σ = 128831040. Its totient is φ = 12758400.

The previous prime is 42852737. The next prime is 42852791. The reversal of 42852744 is 44725824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42852699 and 42852708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47869 + ... + 48755.

It is an arithmetic number, because the mean of its divisors is an integer number (1341990).

Almost surely, 242852744 is an apocalyptic number.

42852744 is a gapful number since it is divisible by the number (44) 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 42852744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64415520).

42852744 is an abundant number, since it is smaller than the sum of its proper divisors (85978296).

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

42852744 is a wasteful number, since it uses less digits than its factorization.

42852744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 964 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42852744 is about 6546.2007301946. The cubic root of 42852744 is about 349.9394289740.

Subtracting 42852744 from its reverse (44725824), we obtain a triangular number (1873080 = T1935).

The spelling of 42852744 in words is "forty-two million, eight hundred fifty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 61 66 72 88 99 122 132 183 198 244 264 366 396 488 549 671 732 792 887 1098 1342 1464 1774 2013 2196 2661 2684 3548 4026 4392 5322 5368 6039 7096 7983 8052 9757 10644 12078 15966 16104 19514 21288 24156 29271 31932 39028 48312 54107 58542 63864 78056 87813 108214 117084 162321 175626 216428 234168 324642 351252 432856 486963 595177 649284 702504 973926 1190354 1298568 1785531 1947852 2380708 3571062 3895704 4761416 5356593 7142124 10713186 14284248 21426372 42852744