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245092352 = 212531129
BaseRepresentation
bin11101001101111…
…01000000000000
3122002011222111112
432212331000000
51000220423402
640153102452
76034151651
oct1646750000
9562158445
10245092352
1111639156a
126a0b7a28
133ba1497b
142479d528
15167b4e52
hexe9bd000

245092352 has 52 divisors (see below), whose sum is σ = 499814820. Its totient is φ = 120127488.

The previous prime is 245092319. The next prime is 245092361. The reversal of 245092352 is 253290542.

It can be written as a sum of positive squares in 2 ways, for example, as 90935296 + 154157056 = 9536^2 + 12416^2 .

It is a super-2 number, since 2×2450923522 = 120140522017783808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216524 + ... + 217652.

Almost surely, 2245092352 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 245092352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249907410).

245092352 is an abundant number, since it is smaller than the sum of its proper divisors (254722468).

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

245092352 is an equidigital number, since it uses as much as digits as its factorization.

245092352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 245092352 is about 15655.4256409719. The cubic root of 245092352 is about 625.8110873377.

The spelling of 245092352 in words is "two hundred forty-five million, ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1129 1696 2048 2258 3392 4096 4516 6784 9032 13568 18064 27136 36128 54272 59837 72256 108544 119674 144512 217088 239348 289024 478696 578048 957392 1156096 1914784 2312192 3829568 4624384 7659136 15318272 30636544 61273088 122546176 245092352