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423055072 = 25113313631
BaseRepresentation
bin11001001101110…
…100111011100000
31002111001102110101
4121031310323200
51331300230242
6105551312144
713324623466
oct3115647340
91074042411
10423055072
111a78925a0
12b981b654
136985445b
1440286836
15272199b7
hex19374ee0

423055072 has 48 divisors (see below), whose sum is σ = 911602944. Its totient is φ = 191664000.

The previous prime is 423055021. The next prime is 423055079. The reversal of 423055072 is 270550324.

It is a self number, because there is not a number n which added to its sum of digits gives 423055072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423055079) 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, 114697 + ... + 118327.

It is an arithmetic number, because the mean of its divisors is an integer number (18991728).

Almost surely, 2423055072 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 423055072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455801472).

423055072 is an abundant number, since it is smaller than the sum of its proper divisors (488547872).

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

423055072 is a wasteful number, since it uses less digits than its factorization.

423055072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 423055072 is about 20568.3026037639. The cubic root of 423055072 is about 750.6986509064.

The spelling of 423055072 in words is "four hundred twenty-three million, fifty-five thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 331 352 662 1324 2648 3631 3641 5296 7262 7282 10592 14524 14564 29048 29128 39941 58096 58256 79882 116192 116512 159764 319528 639056 1201861 1278112 2403722 4807444 9614888 13220471 19229776 26440942 38459552 52881884 105763768 211527536 423055072