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542342500 = 22547171823
BaseRepresentation
bin100000010100110…
…111110101100100
31101210111212001021
4200110313311210
52102314430000
6125452140524
716303556320
oct4024676544
91353455037
10542342500
11259157a47
12131767744
138848bc2b
1452058980
153292e11a
hex20537d64

542342500 has 120 divisors (see below), whose sum is σ = 1435940352. Its totient is φ = 174912000.

The previous prime is 542342497. The next prime is 542342503. The reversal of 542342500 is 5243245.

It is an interprime number because it is at equal distance from previous prime (542342497) and next prime (542342503).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (542342503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 296589 + ... + 298411.

Almost surely, 2542342500 is an apocalyptic number.

542342500 is a gapful number since it is divisible by the number (50) 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 542342500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717970176).

542342500 is an abundant number, since it is smaller than the sum of its proper divisors (893597852).

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

542342500 is a wasteful number, since it uses less digits than its factorization.

542342500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 542342500 is about 23288.2481092932. The cubic root of 542342500 is about 815.5010907220.

Adding to 542342500 its reverse (5243245), we get a palindrome (547585745).

The spelling of 542342500 in words is "five hundred forty-two million, three hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 125 140 170 175 238 250 340 350 425 476 500 595 625 700 850 875 1190 1250 1700 1750 1823 2125 2380 2500 2975 3500 3646 4250 4375 5950 7292 8500 8750 9115 10625 11900 12761 14875 17500 18230 21250 25522 29750 30991 36460 42500 45575 51044 59500 61982 63805 74375 91150 123964 127610 148750 154955 182300 216937 227875 255220 297500 309910 319025 433874 455750 619820 638050 774775 867748 911500 1084685 1139375 1276100 1549550 1595125 2169370 2278750 3099100 3190250 3873875 4338740 4557500 5423425 6380500 7747750 7975625 10846850 15495500 15951250 19369375 21693700 27117125 31902500 38738750 54234250 77477500 108468500 135585625 271171250 542342500