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3819092992 = 210112132371
BaseRepresentation
bin1110001110100010…
…1011110000000000
3100212011022000200121
43203220223300000
530310141433432
61430544230024
7163432516621
oct34350536000
910764260617
103819092992
11168a862100
128a700b314
1348b2c0a50
14283301a48
1517543d197
hexe3a2bc00

3819092992 has 132 divisors (see below), whose sum is σ = 9040911208. Its totient is φ = 1601740800.

The previous prime is 3819092989. The next prime is 3819093017. The reversal of 3819092992 is 2992909183.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 11 ways as a sum of consecutive naturals, for example, 1609567 + ... + 1611937.

Almost surely, 23819092992 is an apocalyptic number.

3819092992 is a gapful number since it is divisible by the number (32) 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 3819092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520455604).

3819092992 is an abundant number, since it is smaller than the sum of its proper divisors (5221818216).

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

3819092992 is a wasteful number, since it uses less digits than its factorization.

3819092992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 52.

The square root of 3819092992 is about 61798.8106034412. The cubic root of 3819092992 is about 1563.0999327965.

The spelling of 3819092992 in words is "three billion, eight hundred nineteen million, ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 128 143 176 208 242 256 286 352 416 484 512 572 704 832 968 1024 1144 1408 1573 1664 1936 2288 2371 2816 3146 3328 3872 4576 4742 5632 6292 6656 7744 9152 9484 11264 12584 13312 15488 18304 18968 25168 26081 30823 30976 36608 37936 50336 52162 61646 61952 73216 75872 100672 104324 123292 123904 146432 151744 201344 208648 246584 286891 303488 339053 402688 417296 493168 573782 606976 678106 805376 834592 986336 1147564 1213952 1356212 1610752 1669184 1972672 2295128 2427904 2712424 3338368 3729583 3945344 4590256 5424848 6676736 7459166 7890688 9180512 10849696 13353472 14918332 15781376 18361024 21699392 26706944 29836664 31562752 36722048 43398784 59673328 73444096 86797568 119346656 146888192 173595136 238693312 293776384 347190272 477386624 954773248 1909546496 3819092992