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2148552 = 23337329
BaseRepresentation
bin1000001100100011001000
311001011021000
420030203020
51022223202
6114015000
724156000
oct10144310
94034230
102148552
11123826a
12877460
135a2c43
143dd000
152c691c
hex20c8c8

2148552 has 128 divisors (see below), whose sum is σ = 7200000. Its totient is φ = 592704.

The previous prime is 2148547. The next prime is 2148583. The reversal of 2148552 is 2558412.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74074 + ... + 74102.

It is an arithmetic number, because the mean of its divisors is an integer number (56250).

22148552 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 2148552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600000).

2148552 is an abundant number, since it is smaller than the sum of its proper divisors (5051448).

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

2148552 is a wasteful number, since it uses less digits than its factorization.

2148552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2148552 is about 1465.7939827957. The cubic root of 2148552 is about 129.0373066788.

The spelling of 2148552 in words is "two million, one hundred forty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 49 54 56 58 63 72 84 87 98 108 116 126 147 168 174 189 196 203 216 232 252 261 294 343 348 378 392 406 441 504 522 588 609 686 696 756 783 812 882 1029 1044 1176 1218 1323 1372 1421 1512 1566 1624 1764 1827 2058 2088 2436 2646 2744 2842 3087 3132 3528 3654 4116 4263 4872 5292 5481 5684 6174 6264 7308 8232 8526 9261 9947 10584 10962 11368 12348 12789 14616 17052 18522 19894 21924 24696 25578 29841 34104 37044 38367 39788 43848 51156 59682 74088 76734 79576 89523 102312 119364 153468 179046 238728 268569 306936 358092 537138 716184 1074276 2148552