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5785804288 = 29113121069
BaseRepresentation
bin1010110001101110…
…00101111000000000
3112221020000022101201
411120313011320000
543322131214123
62354041510544
7263243345035
oct53067057000
915836008351
105785804288
1124a9a32440
1211557a2454
137128b1244
143cc5b338c
1523ce275ad
hex158dc5e00

5785804288 has 120 divisors (see below), whose sum is σ = 13043372760. Its totient is φ = 2542694400.

The previous prime is 5785804231. The next prime is 5785804303. The reversal of 5785804288 is 8824085875.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5411818 + ... + 5412886.

It is an arithmetic number, because the mean of its divisors is an integer number (108694773).

Almost surely, 25785804288 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 5785804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521686380).

5785804288 is an abundant number, since it is smaller than the sum of its proper divisors (7257568472).

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

5785804288 is a wasteful number, since it uses less digits than its factorization.

5785804288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 55.

The square root of 5785804288 is about 76064.4745462690. The cubic root of 5785804288 is about 1795.2347505302.

The spelling of 5785804288 in words is "five billion, seven hundred eighty-five million, eight hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 961 992 1069 1364 1408 1922 1984 2138 2728 2816 3844 3968 4276 5456 5632 7688 7936 8552 10571 10912 11759 15376 15872 17104 21142 21824 23518 30752 33139 34208 42284 43648 47036 61504 66278 68416 84568 87296 94072 123008 132556 136832 169136 174592 188144 246016 265112 273664 338272 364529 376288 492032 530224 547328 676544 729058 752576 1027309 1060448 1353088 1458116 1505152 2054618 2120896 2706176 2916232 3010304 4109236 4241792 5412352 5832464 6020608 8218472 8483584 11300399 11664928 16436944 16967168 22600798 23329856 32873888 45201596 46659712 65747776 90403192 93319424 131495552 180806384 186638848 262991104 361612768 525982208 723225536 1446451072 2892902144 5785804288