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1996092728 = 237193173829
BaseRepresentation
bin111011011111001…
…1111010100111000
312011010000000110022
41312332133110320
513041444431403
6530023110012
7100315336220
oct16676372470
95133000408
101996092728
11934819013
124785a2308
1325a709a76
1414d15d080
15ba38ed38
hex76f9f538

1996092728 has 128 divisors (see below), whose sum is σ = 4717056000. Its totient is φ = 772623360.

The previous prime is 1996092727. The next prime is 1996092737. The reversal of 1996092728 is 8272906991.

It is a self number, because there is not a number n which added to its sum of digits gives 1996092728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996092727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2407418 + ... + 2408246.

It is an arithmetic number, because the mean of its divisors is an integer number (36852000).

Almost surely, 21996092728 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 1996092728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358528000).

1996092728 is an abundant number, since it is smaller than the sum of its proper divisors (2720963272).

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

1996092728 is a wasteful number, since it uses less digits than its factorization.

1996092728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 53.

The square root of 1996092728 is about 44677.6535641701. The cubic root of 1996092728 is about 1259.1000393038.

The spelling of 1996092728 in words is "one billion, nine hundred ninety-six million, ninety-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 73 76 124 133 146 152 217 248 266 292 434 511 532 584 589 829 868 1022 1064 1178 1387 1658 1736 2044 2263 2356 2774 3316 4088 4123 4526 4712 5548 5803 6632 8246 9052 9709 11096 11606 15751 15841 16492 18104 19418 23212 25699 31502 31682 32984 38836 42997 46424 51398 60517 63004 63364 77672 85994 102796 110257 121034 126008 126728 171988 179893 205592 220514 242068 300979 343976 359786 423619 441028 484136 488281 601958 719572 847238 882056 976562 1149823 1203916 1439144 1694476 1876027 1953124 2299646 2407832 3388952 3417967 3752054 3906248 4599292 6835934 7504108 8048761 9198584 13132189 13671868 15008216 16097522 26264378 27343736 32195044 35644513 52528756 64390088 71289026 105057512 142578052 249511591 285156104 499023182 998046364 1996092728