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42550368 = 2537232753
BaseRepresentation
bin1010001001010…
…0010001100000
32222001210010120
42202110101200
541343102433
64120000240
71024446360
oct242242140
988053116
1042550368
11220227a3
1212300080
138a7a643
1459189a0
153b077b3
hex2894460

42550368 has 96 divisors (see below), whose sum is σ = 133249536. Its totient is φ = 11624448.

The previous prime is 42550363. The next prime is 42550393. The reversal of 42550368 is 86305524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42550363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14080 + ... + 16832.

It is an arithmetic number, because the mean of its divisors is an integer number (1388016).

Almost surely, 242550368 is an apocalyptic number.

42550368 is a gapful number since it is divisible by the number (48) 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 42550368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624768).

42550368 is an abundant number, since it is smaller than the sum of its proper divisors (90699168).

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

42550368 is a wasteful number, since it uses less digits than its factorization.

42550368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 42550368 is about 6523.0643105829. The cubic root of 42550368 is about 349.1144087321.

The spelling of 42550368 in words is "forty-two million, five hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 2753 3864 5152 5506 7728 8259 11012 15456 16518 19271 22024 33036 38542 44048 57813 63319 66072 77084 88096 115626 126638 132144 154168 189957 231252 253276 264288 308336 379914 443233 462504 506552 616672 759828 886466 925008 1013104 1329699 1519656 1772932 1850016 2026208 2659398 3039312 3545864 5318796 6078624 7091728 10637592 14183456 21275184 42550368