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42848568 = 23337171667
BaseRepresentation
bin1010001101110…
…1000100111000
32222121221012000
42203131010320
541432123233
64130221000
71030130640
oct243350470
988557160
1042848568
1122206844
1212424760
138b532a9
145995520
153b65d13
hex28dd138

42848568 has 128 divisors (see below), whose sum is σ = 144115200. Its totient is φ = 11515392.

The previous prime is 42848549. The next prime is 42848587. The reversal of 42848568 is 86584824.

42848568 is a `hidden beast` number, since 4 + 2 + 84 + 8 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (42848549) and next prime (42848587).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24871 + ... + 26537.

It is an arithmetic number, because the mean of its divisors is an integer number (1125900).

Almost surely, 242848568 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 42848568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72057600).

42848568 is an abundant number, since it is smaller than the sum of its proper divisors (101266632).

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

42848568 is a wasteful number, since it uses less digits than its factorization.

42848568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1696 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 42848568 is about 6545.8817587854. The cubic root of 42848568 is about 349.9280614053.

The spelling of 42848568 in words is "forty-two million, eight hundred forty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1667 1836 2142 2856 3213 3334 3672 4284 5001 6426 6668 8568 10002 11669 12852 13336 15003 20004 23338 25704 28339 30006 35007 40008 45009 46676 56678 60012 70014 85017 90018 93352 105021 113356 120024 140028 170034 180036 198373 210042 226712 255051 280056 315063 340068 360072 396746 420084 510102 595119 630126 680136 765153 793492 840168 1020204 1190238 1260252 1530306 1586984 1785357 2040408 2380476 2520504 3060612 3570714 4760952 5356071 6121224 7141428 10712142 14282856 21424284 42848568