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245093632 = 287233587
BaseRepresentation
bin11101001101111…
…01010100000000
3122002012001020221
432212331110000
51000220444012
640153112424
76034155460
oct1646752400
9562161227
10245093632
11116392523
126a0b8714
133ba15424
142479dba0
15167b5507
hexe9bd500

245093632 has 72 divisors (see below), whose sum is σ = 562476096. Its totient is φ = 104411136.

The previous prime is 245093609. The next prime is 245093647. The reversal of 245093632 is 236390542.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 417243 + ... + 417829.

It is an arithmetic number, because the mean of its divisors is an integer number (7812168).

Almost surely, 2245093632 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 245093632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281238048).

245093632 is an abundant number, since it is smaller than the sum of its proper divisors (317382464).

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

245093632 is an equidigital number, since it uses as much as digits as its factorization.

245093632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 245093632 is about 15655.4665213145. The cubic root of 245093632 is about 625.8121767731.

The spelling of 245093632 in words is "two hundred forty-five million, ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 233 256 448 466 587 896 932 1174 1631 1792 1864 2348 3262 3728 4109 4696 6524 7456 8218 9392 13048 14912 16436 18784 26096 29824 32872 37568 52192 59648 65744 75136 104384 131488 136771 150272 208768 262976 273542 417536 525952 547084 957397 1051904 1094168 1914794 2188336 3829588 4376672 7659176 8753344 15318352 17506688 30636704 35013376 61273408 122546816 245093632