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245776128 = 28313103239
BaseRepresentation
bin11101010011000…
…11111100000000
3122010110201110120
432221203330000
51000404314003
640215500240
76043030323
oct1651437400
9563421416
10245776128
11116809274
126a387680
133bbc3c80
14248da7ba
151689c853
hexea63f00

245776128 has 144 divisors (see below), whose sum is σ = 714255360. Its totient is φ = 74575872.

The previous prime is 245776109. The next prime is 245776159. The reversal of 245776128 is 821677542.

It is a self number, because there is not a number n which added to its sum of digits gives 245776128.

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, 1028233 + ... + 1028471.

Almost surely, 2245776128 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 245776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357127680).

245776128 is an abundant number, since it is smaller than the sum of its proper divisors (468479232).

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

245776128 is a wasteful number, since it uses less digits than its factorization.

245776128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 245776128 is about 15677.2487382193. The cubic root of 245776128 is about 626.3925243240.

The spelling of 245776128 in words is "two hundred forty-five million, seven hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 128 156 192 206 208 239 256 309 312 384 412 416 478 618 624 717 768 824 832 956 1236 1248 1339 1434 1648 1664 1912 2472 2496 2678 2868 3107 3296 3328 3824 4017 4944 4992 5356 5736 6214 6592 7648 8034 9321 9888 9984 10712 11472 12428 13184 15296 16068 18642 19776 21424 22944 24617 24856 26368 30592 32136 37284 39552 42848 45888 49234 49712 61184 64272 73851 74568 79104 85696 91776 98468 99424 128544 147702 149136 171392 183552 196936 198848 257088 295404 298272 320021 342784 393872 397696 514176 590808 596544 640042 787744 795392 960063 1028352 1181616 1193088 1280084 1575488 1920126 2363232 2386176 2560168 3150976 3840252 4726464 5120336 6301952 7680504 9452928 10240672 15361008 18905856 20481344 30722016 40962688 61444032 81925376 122888064 245776128