Search a number
-
+
823007152 = 24112425107
BaseRepresentation
bin110001000011100…
…001011110110000
32010100122002120101
4301003201132300
53141142212102
6213355522144
726252305522
oct6103413660
92110562511
10823007152
11392625500
121ab759354
13101679ca6
147b437a12
154c3bde87
hex310e17b0

823007152 has 30 divisors (see below), whose sum is σ = 1752720284. Its totient is φ = 374093280.

The previous prime is 823007149. The next prime is 823007231. The reversal of 823007152 is 251700328.

It is a super-2 number, since 2×8230071522 = 1354681544486302208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 823007152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210618 + ... + 214489.

Almost surely, 2823007152 is an apocalyptic number.

It is an amenable number.

823007152 is an abundant number, since it is smaller than the sum of its proper divisors (929713132).

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

823007152 is a wasteful number, since it uses less digits than its factorization.

823007152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425137 (or 425120 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 823007152 is about 28688.1012268153. The cubic root of 823007152 is about 937.1329391354.

The spelling of 823007152 in words is "eight hundred twenty-three million, seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 425107 850214 1700428 3400856 4676177 6801712 9352354 18704708 37409416 51437947 74818832 102875894 205751788 411503576 823007152