Search a number
-
+
2052648 = 2333131743
BaseRepresentation
bin111110101001000101000
310212021201000
413311020220
51011141043
6111555000
723306253
oct7651050
93767630
102052648
111182204
1282ba60
1356b3b0
143b609a
152a82d3
hex1f5228

2052648 has 128 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 580608.

The previous prime is 2052647. The next prime is 2052689. The reversal of 2052648 is 8462502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (2052647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47715 + ... + 47757.

It is an arithmetic number, because the mean of its divisors is an integer number (51975).

22052648 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 2052648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2052648 is an abundant number, since it is smaller than the sum of its proper divisors (4600152).

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

2052648 is a wasteful number, since it uses less digits than its factorization.

2052648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2052648 is about 1432.7065296145. The cubic root of 2052648 is about 127.0880824049.

The spelling of 2052648 in words is "two million, fifty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 43 51 52 54 68 72 78 86 102 104 108 117 129 136 153 156 172 204 216 221 234 258 306 312 344 351 387 408 442 459 468 516 559 612 663 702 731 774 884 918 936 1032 1118 1161 1224 1326 1404 1462 1548 1677 1768 1836 1989 2193 2236 2322 2652 2808 2924 3096 3354 3672 3978 4386 4472 4644 5031 5304 5848 5967 6579 6708 7956 8772 9288 9503 10062 11934 13158 13416 15093 15912 17544 19006 19737 20124 23868 26316 28509 30186 38012 39474 40248 47736 52632 57018 60372 76024 78948 85527 114036 120744 157896 171054 228072 256581 342108 513162 684216 1026324 2052648