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42206472 = 233271123331
BaseRepresentation
bin1010000100000…
…0010100001000
32221102022101200
42201000110020
541301101342
64104344200
71021514640
oct241002410
987368350
1042206472
1121908390
1212175060
138989c59
145869520
153a8a94c
hex2840508

42206472 has 192 divisors, whose sum is σ = 149160960. Its totient is φ = 10454400.

The previous prime is 42206441. The next prime is 42206473. The reversal of 42206472 is 27460224.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42206473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127347 + ... + 127677.

It is an arithmetic number, because the mean of its divisors is an integer number (776880).

Almost surely, 242206472 is an apocalyptic number.

42206472 is a gapful number since it is divisible by the number (42) 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 42206472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74580480).

42206472 is an abundant number, since it is smaller than the sum of its proper divisors (106954488).

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

42206472 is a wasteful number, since it uses less digits than its factorization.

42206472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

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

The square root of 42206472 is about 6496.6508294659. The cubic root of 42206472 is about 348.1713385365.

Adding to 42206472 its reverse (27460224), we get a palindrome (69666696).

The spelling of 42206472 in words is "forty-two million, two hundred six thousand, four hundred seventy-two".