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3049272 = 233319743
BaseRepresentation
bin1011101000011100111000
312201220211000
423220130320
51240034042
6145205000
734630002
oct13503470
95656730
103049272
1117a2a66
121030760
13829c05
14595372
1540374c
hex2e8738

3049272 has 64 divisors (see below), whose sum is σ = 8928000. Its totient is φ = 961632.

The previous prime is 3049261. The next prime is 3049289. The reversal of 3049272 is 2729403.

3049272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 15 ways as a sum of consecutive naturals, for example, 3733 + ... + 4475.

It is an arithmetic number, because the mean of its divisors is an integer number (139500).

Almost surely, 23049272 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 3049272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464000).

3049272 is an abundant number, since it is smaller than the sum of its proper divisors (5878728).

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

3049272 is a wasteful number, since it uses less digits than its factorization.

3049272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3049272 is about 1746.2164814249. The cubic root of 3049272 is about 145.0102569042.

It can be divided in two parts, 3049 and 272, that added together give a triangular number (3321 = T81).

The spelling of 3049272 in words is "three million, forty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 743 1026 1368 1486 2052 2229 2972 4104 4458 5944 6687 8916 13374 14117 17832 20061 26748 28234 40122 42351 53496 56468 80244 84702 112936 127053 160488 169404 254106 338808 381159 508212 762318 1016424 1524636 3049272