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42674200 = 2352239277
BaseRepresentation
bin1010001011001…
…0100000011000
32222022001222221
42202302200120
541411033300
64122353424
71025503402
oct242624030
988261887
1042674200
11220a7838
121235b874
138ac1b0a
14594bb72
153b2e31a
hex28b2818

42674200 has 48 divisors (see below), whose sum is σ = 103542480. Its totient is φ = 16325760.

The previous prime is 42674147. The next prime is 42674207. The reversal of 42674200 is 247624.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42674207) 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, 39 + ... + 9238.

It is an arithmetic number, because the mean of its divisors is an integer number (2157135).

Almost surely, 242674200 is an apocalyptic number.

42674200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42674200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51771240).

42674200 is an abundant number, since it is smaller than the sum of its proper divisors (60868280).

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

42674200 is a wasteful number, since it uses less digits than its factorization.

42674200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9316 (or 9307 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 42674200 is about 6532.5492726806. The cubic root of 42674200 is about 349.4527502244.

The spelling of 42674200 in words is "forty-two million, six hundred seventy-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 9277 18554 37108 46385 74216 92770 185540 213371 231925 371080 426742 463850 853484 927700 1066855 1706968 1855400 2133710 4267420 5334275 8534840 10668550 21337100 42674200