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42833340 = 22335117211
BaseRepresentation
bin1010001101100…
…1010110111100
32222121011022000
42203121112330
541431131330
64130022300
71030035354
oct243312674
988534260
1042833340
11221a6360
1212417990
138b49394
14598db64
153b61560
hex28d95bc

42833340 has 96 divisors (see below), whose sum is σ = 145393920. Its totient is φ = 10382400.

The previous prime is 42833327. The next prime is 42833359. The reversal of 42833340 is 4333824.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2335 + ... + 9545.

It is an arithmetic number, because the mean of its divisors is an integer number (1514520).

Almost surely, 242833340 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 42833340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72696960).

42833340 is an abundant number, since it is smaller than the sum of its proper divisors (102560580).

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

42833340 is a wasteful number, since it uses less digits than its factorization.

42833340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7240 (or 7232 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 42833340 is about 6544.7184813405. The cubic root of 42833340 is about 349.8866027199.

The spelling of 42833340 in words is "forty-two million, eight hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 7211 14422 21633 28844 36055 43266 64899 72110 79321 86532 108165 129798 144220 158642 194697 216330 237963 259596 317284 324495 389394 396605 432660 475926 648990 713889 778788 793210 951852 973485 1189815 1297980 1427778 1586420 1946970 2141667 2379630 2855556 3569445 3893940 4283334 4759260 7138890 8566668 10708335 14277780 21416670 42833340