Search a number
-
+
2151552 = 27313431
BaseRepresentation
bin1000001101010010000000
311001022101010
420031102000
51022322202
6114040520
724200514
oct10152200
94038333
102151552
11123a547
12879140
135a4410
14400144
152c776c
hex20d480

2151552 has 64 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 660480.

The previous prime is 2151533. The next prime is 2151563. The reversal of 2151552 is 2551512.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4777 + ... + 5207.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

22151552 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 2151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2151552 is an abundant number, since it is smaller than the sum of its proper divisors (4017408).

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

2151552 is a wasteful number, since it uses less digits than its factorization.

2151552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its digits is 500, while the sum is 21.

The square root of 2151552 is about 1466.8169619963. The cubic root of 2151552 is about 129.0973365480.

The spelling of 2151552 in words is "two million, one hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 431 624 832 862 1248 1293 1664 1724 2496 2586 3448 4992 5172 5603 6896 10344 11206 13792 16809 20688 22412 27584 33618 41376 44824 55168 67236 82752 89648 134472 165504 179296 268944 358592 537888 717184 1075776 2151552