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7042048 = 21013232
BaseRepresentation
bin11010110111010000000000
3111020202212121
4122313100000
53300321143
6410534024
7113566516
oct32672000
914222777
107042048
113a7a882
122437314
1315c73c0
14d144b6
159417ed
hex6b7400

7042048 has 66 divisors (see below), whose sum is σ = 15847874. Its totient is φ = 3108864.

The previous prime is 7042043. The next prime is 7042051. The reversal of 7042048 is 8402407.

It can be written as a sum of positive squares in only one way, i.e., 4875264 + 2166784 = 2208^2 + 1472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7042043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 306165 + ... + 306187.

Almost surely, 27042048 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 7042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7923937).

7042048 is an abundant number, since it is smaller than the sum of its proper divisors (8805826).

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

7042048 is a wasteful number, since it uses less digits than its factorization.

7042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 7042048 is about 2653.6857387415. The cubic root of 7042048 is about 191.6753773819.

The spelling of 7042048 in words is "seven million, forty-two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 529 598 736 832 1024 1058 1196 1472 1664 2116 2392 2944 3328 4232 4784 5888 6656 6877 8464 9568 11776 13312 13754 16928 19136 23552 27508 33856 38272 55016 67712 76544 110032 135424 153088 220064 270848 306176 440128 541696 880256 1760512 3521024 7042048