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245208384 = 263515767
BaseRepresentation
bin11101001110110…
…01010101000000
3122002101212200000
432213121111000
51000233132014
640155400000
76035144151
oct1647312500
9562355600
10245208384
11116460763
126a153000
133ba55725
14247cd928
15167d9509
hexe9d9540

245208384 has 84 divisors (see below), whose sum is σ = 728923104. Its totient is φ = 81730944.

The previous prime is 245208373. The next prime is 245208407. The reversal of 245208384 is 483802542.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 7669 + ... + 23435.

It is an arithmetic number, because the mean of its divisors is an integer number (8677656).

Almost surely, 2245208384 is an apocalyptic number.

245208384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245208384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364461552).

245208384 is an abundant number, since it is smaller than the sum of its proper divisors (483714720).

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

245208384 is an equidigital number, since it uses as much as digits as its factorization.

245208384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15794 (or 15772 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 245208384 is about 15659.1310103722. The cubic root of 245208384 is about 625.9098292412.

The spelling of 245208384 in words is "two hundred forty-five million, two hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 15767 31534 47301 63068 94602 126136 141903 189204 252272 283806 378408 425709 504544 567612 756816 851418 1009088 1135224 1277127 1513632 1702836 2270448 2554254 3027264 3405672 3831381 4540896 5108508 6811344 7662762 9081792 10217016 13622688 15325524 20434032 27245376 30651048 40868064 61302096 81736128 122604192 245208384