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42371424 = 25355449
BaseRepresentation
bin1010000110100…
…0100101100000
32221201200200000
42201220211200
541321341144
64112100000
71023102564
oct241504540
987650600
1042371424
1121a10307
1212234600
138a17064
1458ad6a4
153abe769
hex2868960

42371424 has 72 divisors (see below), whose sum is σ = 124979400. Its totient is φ = 14121216.

The previous prime is 42371411. The next prime is 42371437. The reversal of 42371424 is 42417324.

42371424 is a `hidden beast` number, since 4 + 237 + 1 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (42371411) and next prime (42371437).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5052 + ... + 10500.

It is an arithmetic number, because the mean of its divisors is an integer number (1735825).

Almost surely, 242371424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42371424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62489700).

42371424 is an abundant number, since it is smaller than the sum of its proper divisors (82607976).

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

42371424 is an equidigital number, since it uses as much as digits as its factorization.

42371424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5454 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 42371424 is about 6509.3336064454. Note that the first 3 decimals coincide. The cubic root of 42371424 is about 348.6243251650.

Adding to 42371424 its reverse (42417324), we get a palindrome (84788748).

The spelling of 42371424 in words is "forty-two million, three hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 5449 7776 10898 16347 21796 32694 43592 49041 65388 87184 98082 130776 147123 174368 196164 261552 294246 392328 441369 523104 588492 784656 882738 1176984 1324107 1569312 1765476 2353968 2648214 3530952 4707936 5296428 7061904 10592856 14123808 21185712 42371424