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2639952 = 2435797
BaseRepresentation
bin1010000100100001010000
311222010100000
422010201100
51133434302
6132330000
731303440
oct12044120
94863300
102639952
111543487
12a73900
13715803
144ca120
1537231c
hex284850

2639952 has 120 divisors (see below), whose sum is σ = 8846656. Its totient is φ = 746496.

The previous prime is 2639941. The next prime is 2639953. The reversal of 2639952 is 2599362.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 213 + 6 + 33 + 9 + 96 + 55 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2639953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27168 + ... + 27264.

22639952 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 2639952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423328).

2639952 is an abundant number, since it is smaller than the sum of its proper divisors (6206704).

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

2639952 is an equidigital number, since it uses as much as digits as its factorization.

2639952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 2639952 is about 1624.7929098811. The cubic root of 2639952 is about 138.2076269681.

The spelling of 2639952 in words is "two million, six hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 97 108 112 126 144 162 168 189 194 216 243 252 291 324 336 378 388 432 486 504 567 582 648 679 756 776 873 972 1008 1134 1164 1296 1358 1512 1552 1701 1746 1944 2037 2268 2328 2619 2716 3024 3402 3492 3888 4074 4536 4656 5238 5432 6111 6804 6984 7857 8148 9072 10476 10864 12222 13608 13968 15714 16296 18333 20952 23571 24444 27216 31428 32592 36666 41904 47142 48888 54999 62856 73332 94284 97776 109998 125712 146664 164997 188568 219996 293328 329994 377136 439992 659988 879984 1319976 2639952