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2531152 = 241343283
BaseRepresentation
bin1001101001111101010000
311202121002101
421221331100
51121444102
6130130144
730341311
oct11517520
94677071
102531152
111479768
12a20954
136a8130
1449c608
1534ee87
hex269f50

2531152 has 40 divisors (see below), whose sum is σ = 5423264. Its totient is φ = 1137024.

The previous prime is 2531117. The next prime is 2531167. The reversal of 2531152 is 2511352.

2531152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8803 + ... + 9085.

22531152 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 2531152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711632).

2531152 is an abundant number, since it is smaller than the sum of its proper divisors (2892112).

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

2531152 is a wasteful number, since it uses less digits than its factorization.

2531152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its digits is 300, while the sum is 19.

The square root of 2531152 is about 1590.9594589429. The cubic root of 2531152 is about 136.2822856464.

The spelling of 2531152 in words is "two million, five hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 283 344 559 566 688 1118 1132 2236 2264 3679 4472 4528 7358 8944 12169 14716 24338 29432 48676 58864 97352 158197 194704 316394 632788 1265576 2531152