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42870528 = 283223809
BaseRepresentation
bin1010001110001…
…0011100000000
32222200001022100
42203202130000
541433324103
64130510400
71030251651
oct243423400
988601270
1042870528
1122221298
1212435400
138b6029c
14599d528
153b6c5a3
hex28e2700

42870528 has 108 divisors (see below), whose sum is σ = 129139920. Its totient is φ = 13651968.

The previous prime is 42870493. The next prime is 42870547. The reversal of 42870528 is 82507824.

It is a happy number.

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 = 42870492 and 42870501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52588 + ... + 53396.

It is an arithmetic number, because the mean of its divisors is an integer number (1195740).

Almost surely, 242870528 is an apocalyptic number.

42870528 is a gapful number since it is divisible by the number (48) 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 42870528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64569960).

42870528 is an abundant number, since it is smaller than the sum of its proper divisors (86269392).

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

42870528 is a wasteful number, since it uses less digits than its factorization.

42870528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 42870528 is about 6547.5589344427. The cubic root of 42870528 is about 349.9878308694.

The spelling of 42870528 in words is "forty-two million, eight hundred seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 809 828 1104 1152 1472 1618 1656 2208 2304 2427 2944 3236 3312 4416 4854 5888 6472 6624 7281 8832 9708 12944 13248 14562 17664 18607 19416 25888 26496 29124 37214 38832 51776 52992 55821 58248 74428 77664 103552 111642 116496 148856 155328 167463 207104 223284 232992 297712 310656 334926 446568 465984 595424 621312 669852 893136 931968 1190848 1339704 1786272 1863936 2381696 2679408 3572544 4763392 5358816 7145088 10717632 14290176 21435264 42870528