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245477856 = 25313239823
BaseRepresentation
bin11101010000110…
…11000111100000
3122002220120022110
432220123013200
51000320242411
640205235320
76040345611
oct1650330740
9562816273
10245477856
11116625168
126a262b40
133bb1b290
142485dc08
151683e2a6
hexea1b1e0

245477856 has 96 divisors (see below), whose sum is σ = 697697280. Its totient is φ = 75124224.

The previous prime is 245477839. The next prime is 245477861. The reversal of 245477856 is 658774542.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 297861 + ... + 298683.

It is an arithmetic number, because the mean of its divisors is an integer number (7267680).

Almost surely, 2245477856 is an apocalyptic number.

245477856 is a gapful number since it is divisible by the number (26) 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 245477856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348848640).

245477856 is an abundant number, since it is smaller than the sum of its proper divisors (452219424).

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

245477856 is a wasteful number, since it uses less digits than its factorization.

245477856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1080 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The square root of 245477856 is about 15667.7329566214. The cubic root of 245477856 is about 626.1390267147.

The spelling of 245477856 in words is "two hundred forty-five million, four hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 239 312 416 478 624 717 823 956 1248 1434 1646 1912 2469 2868 3107 3292 3824 4938 5736 6214 6584 7648 9321 9876 10699 11472 12428 13168 18642 19752 21398 22944 24856 26336 32097 37284 39504 42796 49712 64194 74568 79008 85592 99424 128388 149136 171184 196697 256776 298272 342368 393394 513552 590091 786788 1027104 1180182 1573576 2360364 2557061 3147152 4720728 5114122 6294304 7671183 9441456 10228244 15342366 18882912 20456488 30684732 40912976 61369464 81825952 122738928 245477856