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42073400 = 2352211997
BaseRepresentation
bin1010000001111…
…1110100111000
32221011112212002
42200133310320
541232322100
64101440132
71020421655
oct240376470
987145762
1042073400
1121827406
1212110048
138941505
145832c2c
153a612d5
hex281fd38

42073400 has 48 divisors (see below), whose sum is σ = 98382840. Its totient is φ = 16732800.

The previous prime is 42073399. The next prime is 42073433. The reversal of 42073400 is 437024.

It is a happy number.

42073400 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 (20).

It is a congruent number.

It is an unprimeable number.

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, 41702 + ... + 42698.

Almost surely, 242073400 is an apocalyptic number.

42073400 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 42073400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49191420).

42073400 is an abundant number, since it is smaller than the sum of its proper divisors (56309440).

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

42073400 is a wasteful number, since it uses less digits than its factorization.

42073400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 42073400 is about 6486.4011593487. The cubic root of 42073400 is about 347.8050389890.

The spelling of 42073400 in words is "forty-two million, seventy-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 997 1055 1688 1994 2110 3988 4220 4985 5275 7976 8440 9970 10550 19940 21100 24925 39880 42200 49850 99700 199400 210367 420734 841468 1051835 1682936 2103670 4207340 5259175 8414680 10518350 21036700 42073400