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2067602952 = 2331921671429
BaseRepresentation
bin111101100111101…
…0001111000001000
312100002120010001010
41323033101320020
513213301243302
6541055523520
7102144222642
oct17317217010
95302503033
102067602952
11971120778
124985295a0
1326c486acc
14158855892
15c17b816c
hex7b3d1e08

2067602952 has 96 divisors (see below), whose sum is σ = 5491886400. Its totient is φ = 648563328.

The previous prime is 2067602947. The next prime is 2067602987. The reversal of 2067602952 is 2592067602.

It is a happy number.

It is a super-2 number, since 2×20676029522 = 8549963934238228608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2067602952.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1446174 + ... + 1447602.

It is an arithmetic number, because the mean of its divisors is an integer number (57207150).

Almost surely, 22067602952 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 2067602952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745943200).

2067602952 is an abundant number, since it is smaller than the sum of its proper divisors (3424283448).

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

2067602952 is a wasteful number, since it uses less digits than its factorization.

2067602952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2067602952 is about 45470.9022562781. The cubic root of 2067602952 is about 1273.9597722298.

The spelling of 2067602952 in words is "two billion, sixty-seven million, six hundred two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 167 228 334 361 456 501 668 722 1002 1083 1336 1429 1444 2004 2166 2858 2888 3173 4008 4287 4332 5716 6346 8574 8664 9519 11432 12692 17148 19038 25384 27151 34296 38076 54302 60287 76152 81453 108604 120574 162906 180861 217208 238643 241148 325812 361722 477286 482296 515869 651624 715929 723444 954572 1031738 1431858 1446888 1547607 1909144 2063476 2863716 3095214 4126952 4534217 5727432 6190428 9068434 12380856 13602651 18136868 27205302 36273736 54410604 86150123 108821208 172300246 258450369 344600492 516900738 689200984 1033801476 2067602952