Search a number
-
+
472492064 = 25111737759
BaseRepresentation
bin11100001010011…
…010100000100000
31012221002002021002
4130022122200200
51431424221224
6114515051132
714465054612
oct3412324040
91187062232
10472492064
11222789310
121122a0aa8
1376b73505
1446a74db2
152b7329ae
hex1c29a820

472492064 has 48 divisors (see below), whose sum is σ = 1020781440. Its totient is φ = 213500160.

The previous prime is 472492061. The next prime is 472492073. The reversal of 472492064 is 460294274.

It is not an unprimeable number, because it can be changed into a prime (472492061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57017 + ... + 64775.

It is an arithmetic number, because the mean of its divisors is an integer number (21266280).

Almost surely, 2472492064 is an apocalyptic number.

472492064 is a gapful number since it is divisible by the number (44) 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 472492064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510390720).

472492064 is an abundant number, since it is smaller than the sum of its proper divisors (548289376).

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

472492064 is a wasteful number, since it uses less digits than its factorization.

472492064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7953 (or 7945 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 472492064 is about 21736.8825731750. The cubic root of 472492064 is about 778.8697546571.

The spelling of 472492064 in words is "four hundred seventy-two million, four hundred ninety-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 173 176 346 352 692 1384 1903 2768 3806 5536 7612 7759 15224 15518 30448 31036 60896 62072 85349 124144 170698 248288 341396 682792 1342307 1365584 2684614 2731168 5369228 10738456 14765377 21476912 29530754 42953824 59061508 118123016 236246032 472492064