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42366900 = 22352141223
BaseRepresentation
bin1010000110011…
…1011110110100
32221201110110110
42201213132310
541321220100
64112023020
71023053442
oct241473664
987643413
1042366900
1121a07974
1212231a70
138a14c94
1458abb92
153abd250
hex28677b4

42366900 has 36 divisors (see below), whose sum is σ = 122582432. Its totient is φ = 11297760.

The previous prime is 42366893. The next prime is 42366923. The reversal of 42366900 is 966324.

It is a super-4 number, since 4×423669004 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70312 + ... + 70911.

Almost surely, 242366900 is an apocalyptic number.

It is an amenable number.

42366900 is an abundant number, since it is smaller than the sum of its proper divisors (80215532).

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

42366900 is a wasteful number, since it uses less digits than its factorization.

42366900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141240 (or 141233 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 42366900 is about 6508.9860961597. The cubic root of 42366900 is about 348.6119171752.

The spelling of 42366900 in words is "forty-two million, three hundred sixty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 141223 282446 423669 564892 706115 847338 1412230 1694676 2118345 2824460 3530575 4236690 7061150 8473380 10591725 14122300 21183450 42366900