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42049500 = 2235317297
BaseRepresentation
bin1010000001100…
…1111111011100
32221010100001220
42200121333130
541231041000
64101133340
71020262203
oct240317734
987110056
1042049500
1121810459
12120ba250
13893367c
14582823a
153a591a0
hex2819fdc

42049500 has 144 divisors (see below), whose sum is σ = 131415648. Its totient is φ = 10444800.

The previous prime is 42049499. The next prime is 42049529. The reversal of 42049500 is 594024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433452 + ... + 433548.

Almost surely, 242049500 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 42049500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65707824).

42049500 is an abundant number, since it is smaller than the sum of its proper divisors (89366148).

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

42049500 is a wasteful number, since it uses less digits than its factorization.

42049500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 42049500 is about 6484.5585817386. The cubic root of 42049500 is about 347.7391690655.

The spelling of 42049500 in words is "forty-two million, forty-nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 97 100 102 125 150 170 194 204 250 255 289 291 300 340 375 388 425 485 500 510 578 582 750 850 867 970 1020 1156 1164 1275 1445 1455 1500 1649 1700 1734 1940 2125 2425 2550 2890 2910 3298 3468 4250 4335 4850 4947 5100 5780 5820 6375 6596 7225 7275 8245 8500 8670 9700 9894 12125 12750 14450 14550 16490 17340 19788 21675 24250 24735 25500 28033 28900 29100 32980 36125 36375 41225 43350 48500 49470 56066 72250 72750 82450 84099 86700 98940 108375 112132 123675 140165 144500 145500 164900 168198 206125 216750 247350 280330 336396 412250 420495 433500 494700 560660 618375 700825 824500 840990 1236750 1401650 1681980 2102475 2473500 2803300 3504125 4204950 7008250 8409900 10512375 14016500 21024750 42049500