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245381472 = 25327592063
BaseRepresentation
bin11101010000000…
…11100101100000
3122002201200002200
432220003211200
51000304201342
640203213200
76036464610
oct1650034540
9562650080
10245381472
11116569806
126a217200
133bab644b
1424836a40
151682094c
hexea03960

245381472 has 144 divisors (see below), whose sum is σ = 811399680. Its totient is φ = 68887296.

The previous prime is 245381459. The next prime is 245381483. The reversal of 245381472 is 274183542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117913 + ... + 119975.

It is an arithmetic number, because the mean of its divisors is an integer number (5634720).

Almost surely, 2245381472 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 245381472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405699840).

245381472 is an abundant number, since it is smaller than the sum of its proper divisors (566018208).

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

245381472 is a wasteful number, since it uses less digits than its factorization.

245381472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2134 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 245381472 is about 15664.6567788765. The cubic root of 245381472 is about 626.0570672728.

The spelling of 245381472 in words is "two hundred forty-five million, three hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 59 63 72 84 96 112 118 126 144 168 177 224 236 252 288 336 354 413 472 504 531 672 708 826 944 1008 1062 1239 1416 1652 1888 2016 2063 2124 2478 2832 3304 3717 4126 4248 4956 5664 6189 6608 7434 8252 8496 9912 12378 13216 14441 14868 16504 16992 18567 19824 24756 28882 29736 33008 37134 39648 43323 49512 57764 59472 66016 74268 86646 99024 115528 118944 121717 129969 148536 173292 198048 231056 243434 259938 297072 346584 365151 462112 486868 519876 594144 693168 730302 852019 973736 1039752 1095453 1386336 1460604 1704038 1947472 2079504 2190906 2556057 2921208 3408076 3894944 4159008 4381812 5112114 5842416 6816152 7668171 8763624 10224228 11684832 13632304 15336342 17527248 20448456 27264608 30672684 35054496 40896912 61345368 81793824 122690736 245381472