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42679400 = 2352213397
BaseRepresentation
bin1010001011001…
…1110001101000
32222022100010112
42202303301220
541411220100
64122433452
71025524511
oct242636150
988270115
1042679400
1122100735
1212362888
138ac42aa
14594da08
153b30b35
hex28b3c68

42679400 has 24 divisors (see below), whose sum is σ = 99230070. Its totient is φ = 17071680.

The previous prime is 42679393. The next prime is 42679409. The reversal of 42679400 is 497624.

It can be written as a sum of positive squares in 3 ways, for example, as 24820324 + 17859076 = 4982^2 + 4226^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42679409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106499 + ... + 106898.

Almost surely, 242679400 is an apocalyptic number.

42679400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42679400 is an abundant number, since it is smaller than the sum of its proper divisors (56550670).

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

42679400 is a wasteful number, since it uses less digits than its factorization.

42679400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213413 (or 213404 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 42679400 is about 6532.9472675049. The cubic root of 42679400 is about 349.4669436597.

The spelling of 42679400 in words is "forty-two million, six hundred seventy-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 213397 426794 853588 1066985 1707176 2133970 4267940 5334925 8535880 10669850 21339700 42679400