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42730600 = 23521119423
BaseRepresentation
bin1010001100000…
…0010001101000
32222101221100211
42203000101220
541414334400
64123510504
71026130003
oct243002150
988357324
1042730600
1122136150
1212388434
138b116a3
14596453a
153b40dba
hex28c0468

42730600 has 48 divisors (see below), whose sum is σ = 108385920. Its totient is φ = 15537600.

The previous prime is 42730579. The next prime is 42730607. The reversal of 42730600 is 603724.

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 (42730607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7512 + ... + 11911.

It is an arithmetic number, because the mean of its divisors is an integer number (2258040).

Almost surely, 242730600 is an apocalyptic number.

42730600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42730600 is an abundant number, since it is smaller than the sum of its proper divisors (65655320).

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

42730600 is a wasteful number, since it uses less digits than its factorization.

42730600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19450 (or 19441 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 42730600 is about 6536.8646918840. The cubic root of 42730600 is about 349.6066328879.

The spelling of 42730600 in words is "forty-two million, seven hundred thirty thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 19423 38846 77692 97115 155384 194230 213653 388460 427306 485575 776920 854612 971150 1068265 1709224 1942300 2136530 3884600 4273060 5341325 8546120 10682650 21365300 42730600