Search a number
-
+
621264216 = 233297911299
BaseRepresentation
bin100101000001111…
…011110101011000
31121022000111021210
4211001323311120
52233020423331
6141351503120
721252441636
oct4501736530
91538014253
10621264216
11299762001
12154087aa0
139b932581
145c720356
153981d446
hex2507bd58

621264216 has 64 divisors (see below), whose sum is σ = 1627200000. Its totient is φ = 197398656.

The previous prime is 621264209. The next prime is 621264221. The reversal of 621264216 is 612462126.

621264216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49335 + ... + 60633.

It is an arithmetic number, because the mean of its divisors is an integer number (25425000).

Almost surely, 2621264216 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 621264216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813600000).

621264216 is an abundant number, since it is smaller than the sum of its proper divisors (1005935784).

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

621264216 is a wasteful number, since it uses less digits than its factorization.

621264216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11416 (or 11412 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 621264216 is about 24925.1723364152. The cubic root of 621264216 is about 853.2810744093.

The spelling of 621264216 in words is "six hundred twenty-one million, two hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 58 79 87 116 158 174 232 237 316 348 474 632 696 948 1896 2291 4582 6873 9164 11299 13746 18328 22598 27492 33897 45196 54984 67794 90392 135588 271176 327671 655342 892621 983013 1310684 1785242 1966026 2621368 2677863 3570484 3932052 5355726 7140968 7864104 10711452 21422904 25886009 51772018 77658027 103544036 155316054 207088072 310632108 621264216