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42826740 = 223511217347
BaseRepresentation
bin1010001101011…
…1101111110100
32222120211020120
42203113233310
541430423430
64125531540
71030010205
oct243275764
988524216
1042826740
11221a1400
1212413bb0
138b46388
14598b5ac
153b5e610
hex28d7bf4

42826740 has 144 divisors (see below), whose sum is σ = 139962816. Its totient is φ = 9743360.

The previous prime is 42826733. The next prime is 42826747. The reversal of 42826740 is 4762824.

It is an interprime number because it is at equal distance from previous prime (42826733) and next prime (42826747).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42826747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123247 + ... + 123593.

It is an arithmetic number, because the mean of its divisors is an integer number (971964).

Almost surely, 242826740 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 42826740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69981408).

42826740 is an abundant number, since it is smaller than the sum of its proper divisors (97136076).

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

42826740 is a wasteful number, since it uses less digits than its factorization.

42826740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 42826740 is about 6544.2142385469. The cubic root of 42826740 is about 349.8686309702.

The spelling of 42826740 in words is "forty-two million, eight hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 347 363 374 484 510 561 605 660 694 726 748 935 1020 1041 1122 1210 1388 1452 1735 1815 1870 2057 2082 2244 2420 2805 3470 3630 3740 3817 4114 4164 5205 5610 5899 6171 6940 7260 7634 8228 10285 10410 11220 11451 11798 12342 15268 17697 19085 20570 20820 22902 23596 24684 29495 30855 35394 38170 41140 41987 45804 57255 58990 61710 64889 70788 76340 83974 88485 114510 117980 123420 125961 129778 167948 176970 194667 209935 229020 251922 259556 324445 353940 389334 419870 503844 629805 648890 713779 778668 839740 973335 1259610 1297780 1427558 1946670 2141337 2519220 2855116 3568895 3893340 4282674 7137790 8565348 10706685 14275580 21413370 42826740