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2641152 = 28319181
BaseRepresentation
bin1010000100110100000000
311222011222110
422010310000
51134004102
6132335320
731310103
oct12046400
94864873
102641152
111544378
12a74540
13716217
144ca73a
1537286c
hex284d00

2641152 has 72 divisors (see below), whose sum is σ = 7440160. Its totient is φ = 829440.

The previous prime is 2641151. The next prime is 2641153. The reversal of 2641152 is 2511462.

It is an interprime number because it is at equal distance from previous prime (2641151) and next prime (2641153).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14502 + ... + 14682.

22641152 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 2641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720080).

2641152 is an abundant number, since it is smaller than the sum of its proper divisors (4799008).

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

2641152 is a wasteful number, since it uses less digits than its factorization.

2641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 2641152 is about 1625.1621457565. The cubic root of 2641152 is about 138.2285647262.

The spelling of 2641152 in words is "two million, six hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 181 192 228 256 304 362 384 456 543 608 724 768 912 1086 1216 1448 1824 2172 2432 2896 3439 3648 4344 4864 5792 6878 7296 8688 10317 11584 13756 14592 17376 20634 23168 27512 34752 41268 46336 55024 69504 82536 110048 139008 165072 220096 330144 440192 660288 880384 1320576 2641152