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42654900 = 22352142183
BaseRepresentation
bin1010001010110…
…1110010110100
32222021002112010
42202231302310
541404424100
64122124220
71025363211
oct242556264
988232463
1042654900
1122094292
1212350670
138ab60b2
145944b08
153b28750
hex28adcb4

42654900 has 36 divisors (see below), whose sum is σ = 123415712. Its totient is φ = 11374560.

The previous prime is 42654881. The next prime is 42654907. The reversal of 42654900 is 945624.

42654900 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42654907) 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 11 ways as a sum of consecutive naturals, for example, 70792 + ... + 71391.

Almost surely, 242654900 is an apocalyptic number.

It is an amenable number.

42654900 is an abundant number, since it is smaller than the sum of its proper divisors (80760812).

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

42654900 is a wasteful number, since it uses less digits than its factorization.

42654900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142200 (or 142193 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42654900 is about 6531.0718875235. The cubic root of 42654900 is about 349.4000606595.

The spelling of 42654900 in words is "forty-two million, six hundred fifty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 142183 284366 426549 568732 710915 853098 1421830 1706196 2132745 2843660 3554575 4265490 7109150 8530980 10663725 14218300 21327450 42654900