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42630500 = 22531123337
BaseRepresentation
bin1010001010011…
…1110101100100
32222012212001102
42202213311210
541403134000
64121415232
71025232113
oct242476544
988185042
1042630500
1122077a20
121233a518
138aa7c63
145939c7a
153b213d5
hex28a7d64

42630500 has 96 divisors (see below), whose sum is σ = 106299648. Its totient is φ = 14784000.

The previous prime is 42630499. The next prime is 42630503. The reversal of 42630500 is 503624.

42630500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42630503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126332 + ... + 126668.

It is an arithmetic number, because the mean of its divisors is an integer number (1107288).

Almost surely, 242630500 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 42630500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53149824).

42630500 is an abundant number, since it is smaller than the sum of its proper divisors (63669148).

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

42630500 is a wasteful number, since it uses less digits than its factorization.

42630500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 42630500 is about 6529.2036267833. The cubic root of 42630500 is about 349.3334251921. Note that the first 3 decimals are identical.

The spelling of 42630500 in words is "forty-two million, six hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 125 220 230 250 253 275 337 460 500 506 550 575 674 1012 1100 1150 1265 1348 1375 1685 2300 2530 2750 2875 3370 3707 5060 5500 5750 6325 6740 7414 7751 8425 11500 12650 14828 15502 16850 18535 25300 31004 31625 33700 37070 38755 42125 63250 74140 77510 84250 85261 92675 126500 155020 168500 170522 185350 193775 341044 370700 387550 426305 463375 775100 852610 926750 968875 1705220 1853500 1937750 2131525 3875500 4263050 8526100 10657625 21315250 42630500