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42892980 = 223513127433
BaseRepresentation
bin1010001110011…
…1111010110100
32222201012002220
42203213322310
541440033410
64131202340
71030404264
oct243477264
988635086
1042892980
1122237149
12124463b0
138b6a580
1459a77a4
153b74070
hex28e7eb4

42892980 has 96 divisors (see below), whose sum is σ = 130658304. Its totient is φ = 10450944.

The previous prime is 42892903. The next prime is 42892981. The reversal of 42892980 is 8929824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42892981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98844 + ... + 99276.

It is an arithmetic number, because the mean of its divisors is an integer number (1361024).

Almost surely, 242892980 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 42892980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65329152).

42892980 is an abundant number, since it is smaller than the sum of its proper divisors (87765324).

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

42892980 is a wasteful number, since it uses less digits than its factorization.

42892980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 42892980 is about 6549.2732421239. The cubic root of 42892980 is about 350.0489183326.

The spelling of 42892980 in words is "forty-two million, eight hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 381 390 433 508 635 762 780 866 1270 1299 1524 1651 1732 1905 2165 2540 2598 3302 3810 4330 4953 5196 5629 6495 6604 7620 8255 8660 9906 11258 12990 16510 16887 19812 22516 24765 25980 28145 33020 33774 49530 54991 56290 67548 84435 99060 109982 112580 164973 168870 219964 274955 329946 337740 549910 659892 714883 824865 1099820 1429766 1649730 2144649 2859532 3299460 3574415 4289298 7148830 8578596 10723245 14297660 21446490 42892980