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42146500 = 2253117997
BaseRepresentation
bin1010000011000…
…1101011000100
32221022021010111
42200301223010
541242142000
64103202404
71021145044
oct240615304
987267114
1042146500
1121877320
1212146404
138968876
145851724
153a77cba
hex2831ac4

42146500 has 96 divisors (see below), whose sum is σ = 102735360. Its totient is φ = 14976000.

The previous prime is 42146497. The next prime is 42146509. The reversal of 42146500 is 564124.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (42146509) 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, 434452 + ... + 434548.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 242146500 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 42146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51367680).

42146500 is an abundant number, since it is smaller than the sum of its proper divisors (60588860).

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

42146500 is a wasteful number, since it uses less digits than its factorization.

42146500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 42146500 is about 6492.0335797037. The cubic root of 42146500 is about 348.0063525506.

The spelling of 42146500 in words is "forty-two million, one hundred forty-six thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 97 100 110 125 158 194 220 250 275 316 388 395 485 500 550 790 869 970 1067 1100 1375 1580 1738 1940 1975 2134 2425 2750 3476 3950 4268 4345 4850 5335 5500 7663 7900 8690 9700 9875 10670 12125 15326 17380 19750 21340 21725 24250 26675 30652 38315 39500 43450 48500 53350 76630 84293 86900 106700 108625 133375 153260 168586 191575 217250 266750 337172 383150 421465 434500 533500 766300 842930 957875 1685860 1915750 2107325 3831500 4214650 8429300 10536625 21073250 42146500