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42009400 = 2352297243
BaseRepresentation
bin1010000001000…
…0001100111000
32221001022001201
42200100030320
541223300100
64100223544
71020034246
oct240201470
987038051
1042009400
1121793314
121209abb4
13891b344
145817796
153a4c36a
hex2810338

42009400 has 48 divisors (see below), whose sum is σ = 101053800. Its totient is φ = 16222080.

The previous prime is 42009391. The next prime is 42009403. The reversal of 42009400 is 490024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42009403) 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, 2179 + ... + 9421.

Almost surely, 242009400 is an apocalyptic number.

42009400 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 42009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50526900).

42009400 is an abundant number, since it is smaller than the sum of its proper divisors (59044400).

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

42009400 is a wasteful number, since it uses less digits than its factorization.

42009400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7288 (or 7279 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 42009400 is about 6481.4658835791. The cubic root of 42009400 is about 347.6285948165.

Adding to 42009400 its reverse (490024), we get a palindrome (42499424).

The spelling of 42009400 in words is "forty-two million, nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 7243 14486 28972 36215 57944 72430 144860 181075 210047 289720 362150 420094 724300 840188 1050235 1448600 1680376 2100470 4200940 5251175 8401880 10502350 21004700 42009400