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2949024 = 2531317139
BaseRepresentation
bin1011001111111110100000
312112211022010
423033332200
51223332044
6143112520
734031511
oct13177640
95484263
102949024
111734711
12ba2740
137c33b0
1456aa08
153d3bb9
hex2cffa0

2949024 has 96 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 847872.

The previous prime is 2949013. The next prime is 2949029. The reversal of 2949024 is 4209492.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2948982 and 2949000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21147 + ... + 21285.

It is an arithmetic number, because the mean of its divisors is an integer number (92610).

22949024 is an apocalyptic number.

2949024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2949024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

2949024 is an abundant number, since it is smaller than the sum of its proper divisors (5941536).

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

2949024 is a wasteful number, since it uses less digits than its factorization.

2949024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2949024 is about 1717.2722556427. The cubic root of 2949024 is about 143.4033958296.

It can be divided in two parts, 294 and 9024, that multiplied together give a triangular number (2653056 = T2303).

The spelling of 2949024 in words is "two million, nine hundred forty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 139 156 204 208 221 272 278 312 408 416 417 442 544 556 624 663 816 834 884 1112 1248 1326 1632 1668 1768 1807 2224 2363 2652 3336 3536 3614 4448 4726 5304 5421 6672 7072 7089 7228 9452 10608 10842 13344 14178 14456 18904 21216 21684 28356 28912 30719 37808 43368 56712 57824 61438 75616 86736 92157 113424 122876 173472 184314 226848 245752 368628 491504 737256 983008 1474512 2949024