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42946760 = 23517137461
BaseRepresentation
bin1010001111010…
…1000011001000
32222210220212202
42203311003020
541443244020
64132255332
71031020133
oct243650310
988726782
1042946760
112227359a
1212471548
138b88bac
1459bd21a
153b84e75
hex28f50c8

42946760 has 64 divisors (see below), whose sum is σ = 103284720. Its totient is φ = 16015360.

The previous prime is 42946759. The next prime is 42946789. The reversal of 42946760 is 6764924.

It can be written as a sum of positive squares in 8 ways, for example, as 22714756 + 20232004 = 4766^2 + 4498^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92930 + ... + 93390.

Almost surely, 242946760 is an apocalyptic number.

42946760 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 42946760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51642360).

42946760 is an abundant number, since it is smaller than the sum of its proper divisors (60337960).

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

42946760 is a wasteful number, since it uses less digits than its factorization.

42946760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 42946760 is about 6553.3777550207. The cubic root of 42946760 is about 350.1951564686.

The spelling of 42946760 in words is "forty-two million, nine hundred forty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 137 170 274 340 461 548 680 685 922 1096 1370 1844 2305 2329 2740 3688 4610 4658 5480 7837 9220 9316 11645 15674 18440 18632 23290 31348 39185 46580 62696 63157 78370 93160 126314 156740 252628 313480 315785 505256 631570 1073669 1263140 2147338 2526280 4294676 5368345 8589352 10736690 21473380 42946760