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2004300792 = 23321321271297
BaseRepresentation
bin111011101110111…
…0011001111111000
312011200110000210200
41313131303033320
513101100111132
6530515042200
7100445163354
oct16735631770
95150400720
102004300792
1193941493a
1247b2a0360
1325c321b00
14150298464
15bae61d7c
hex777733f8

2004300792 has 144 divisors (see below), whose sum is σ = 5928848640. Its totient is φ = 611380224.

The previous prime is 2004300791. The next prime is 2004300797. The reversal of 2004300792 is 2970034002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004300791) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1544688 + ... + 1545984.

It is an arithmetic number, because the mean of its divisors is an integer number (41172560).

Almost surely, 22004300792 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 2004300792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964424320).

2004300792 is an abundant number, since it is smaller than the sum of its proper divisors (3924547848).

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

2004300792 is a wasteful number, since it uses less digits than its factorization.

2004300792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2004300792 is about 44769.4180440175. The cubic root of 2004300792 is about 1260.8235130480.

Adding to 2004300792 its reverse (2970034002), we get a palindrome (4974334794).

The spelling of 2004300792 in words is "two billion, four million, three hundred thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 127 156 169 234 254 312 338 381 468 507 508 676 762 936 1014 1016 1143 1297 1352 1521 1524 1651 2028 2286 2594 3042 3048 3302 3891 4056 4572 4953 5188 6084 6604 7782 9144 9906 10376 11673 12168 13208 14859 15564 16861 19812 21463 23346 29718 31128 33722 39624 42926 46692 50583 59436 64389 67444 85852 93384 101166 118872 128778 134888 151749 164719 171704 193167 202332 219193 257556 303498 329438 386334 404664 438386 494157 515112 606996 657579 658876 772668 876772 988314 1213992 1315158 1317752 1482471 1545336 1753544 1972737 1976628 2141347 2630316 2964942 3945474 3953256 4282694 5260632 5929884 6424041 7890948 8565388 11859768 12848082 15781896 17130776 19272123 25696164 27837511 38544246 51392328 55675022 77088492 83512533 111350044 154176984 167025066 222700088 250537599 334050132 501075198 668100264 1002150396 2004300792