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42941920 = 2557231667
BaseRepresentation
bin1010001111001…
…1110111100000
32222210200020111
42203303313200
541443120140
64132221104
71031000050
oct243636740
988720214
1042941920
112226a99a
121246a794
138b86928
1459bb560
153b837ea
hex28f3de0

42941920 has 96 divisors (see below), whose sum is σ = 121056768. Its totient is φ = 14074368.

The previous prime is 42941917. The next prime is 42941923. The reversal of 42941920 is 2914924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42941917) and next prime (42941923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42941923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24927 + ... + 26593.

It is an arithmetic number, because the mean of its divisors is an integer number (1261008).

Almost surely, 242941920 is an apocalyptic number.

42941920 is a gapful number since it is divisible by the number (40) 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 42941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60528384).

42941920 is an abundant number, since it is smaller than the sum of its proper divisors (78114848).

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

42941920 is a wasteful number, since it uses less digits than its factorization.

42941920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 42941920 is about 6553.0084693979. The cubic root of 42941920 is about 350.1820005811.

The spelling of 42941920 in words is "forty-two million, nine hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1667 1840 2576 3220 3334 3680 5152 6440 6668 8335 11669 12880 13336 16670 23338 25760 26672 33340 38341 46676 53344 58345 66680 76682 93352 116690 133360 153364 186704 191705 233380 266720 268387 306728 373408 383410 466760 536774 613456 766820 933520 1073548 1226912 1341935 1533640 1867040 2147096 2683870 3067280 4294192 5367740 6134560 8588384 10735480 21470960 42941920