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5785384192 = 2878397401
BaseRepresentation
bin1010110001101010…
…11111010100000000
3112221012012222010121
411120311133110000
543322024243232
62354024510024
7263236645210
oct53065372400
915835188117
105785384192
1124a9775855
12115561b314
13712794c73
143cc504240
1523cd92d97
hex158d5f500

5785384192 has 144 divisors (see below), whose sum is σ = 13528271232. Its totient is φ = 2418278400.

The previous prime is 5785384159. The next prime is 5785384243. The reversal of 5785384192 is 2914835875.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14427192 + ... + 14427592.

It is an arithmetic number, because the mean of its divisors is an integer number (93946328).

Almost surely, 25785384192 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 5785384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764135616).

5785384192 is an abundant number, since it is smaller than the sum of its proper divisors (7742887040).

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

5785384192 is an equidigital number, since it uses as much as digits as its factorization.

5785384192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 590 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 52.

The square root of 5785384192 is about 76061.7130493391. The cubic root of 5785384192 is about 1795.1912999770.

The spelling of 5785384192 in words is "five billion, seven hundred eighty-five million, three hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 97 112 128 166 194 224 256 332 388 401 448 581 664 679 776 802 896 1162 1328 1358 1552 1604 1792 2324 2656 2716 2807 3104 3208 4648 5312 5432 5614 6208 6416 8051 9296 10624 10864 11228 12416 12832 16102 18592 21248 21728 22456 24832 25664 32204 33283 37184 38897 43456 44912 51328 56357 64408 66566 74368 77794 86912 89824 102656 112714 128816 133132 148736 155588 173824 179648 225428 232981 257632 266264 272279 311176 359296 450856 465962 515264 532528 544558 622352 718592 901712 931924 1030528 1065056 1089116 1244704 1803424 1863848 2061056 2130112 2178232 2489408 3228451 3606848 3727696 4260224 4356464 4978816 6456902 7213696 7455392 8520448 8712928 9957632 12913804 14427392 14910784 17425856 22599157 25827608 29821568 34851712 45198314 51655216 59643136 69703424 90396628 103310432 180793256 206620864 361586512 413241728 723173024 826483456 1446346048 2892692096 5785384192