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42161472 = 26352711
BaseRepresentation
bin1010000011010…
…1010101000000
32221100000200000
42200311111000
541243131342
64103400000
71021236513
oct240652500
987300600
1042161472
11218875a1
1212153000
138972622
145856d7a
153a7c44c
hex2835540

42161472 has 84 divisors (see below), whose sum is σ = 125370336. Its totient is φ = 14048640.

The previous prime is 42161453. The next prime is 42161473. The reversal of 42161472 is 27416124.

42161472 is a `hidden beast` number, since 42 + 1 + 614 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42161473) 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, 14197 + ... + 16907.

It is an arithmetic number, because the mean of its divisors is an integer number (1492504).

Almost surely, 242161472 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 42161472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62685168).

42161472 is an abundant number, since it is smaller than the sum of its proper divisors (83208864).

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

42161472 is an equidigital number, since it uses as much as digits as its factorization.

42161472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2716 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42161472 is about 6493.1865828729. The cubic root of 42161472 is about 348.0475559266.

Adding to 42161472 its reverse (27416124), we get a palindrome (69577596).

The spelling of 42161472 in words is "forty-two million, one hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 2711 3888 5184 5422 7776 8133 10844 15552 16266 21688 24399 32532 43376 48798 65064 73197 86752 97596 130128 146394 173504 195192 219591 260256 292788 390384 439182 520512 585576 658773 780768 878364 1171152 1317546 1561536 1756728 2342304 2635092 3513456 4684608 5270184 7026912 10540368 14053824 21080736 42161472